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Finding the Fourth Proportional to 17,775.15, 24,526.29 and 10,702.02

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Solution

The fourth proportional to 17,775.15, 24,526.29 and 10,702.02 is: 14,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.15 : 24,526.29 = 10,702.02 : x
  2. Step 2: Convert to fraction form
    17,775.15/24,526.29 = 10,702.02/x
  3. Step 3: Cross multiply
    17,775.15x = 24,526.29 × 10,702.02
  4. Step 4: Simplify right side
    17,775.15x = 262,480,978.21
  5. Step 5: Solve for x
    x = 262,480,978.21/17,775.15
  6. Step 6: Final answer
    x = 14,766.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.