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Finding the Fourth Proportional to 15,050.52, 22,597.02 and 9,485.82

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Solution

The fourth proportional to 15,050.52, 22,597.02 and 9,485.82 is: 14,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,050.52 : 22,597.02 = 9,485.82 : x
  2. Step 2: Convert to fraction form
    15,050.52/22,597.02 = 9,485.82/x
  3. Step 3: Cross multiply
    15,050.52x = 22,597.02 × 9,485.82
  4. Step 4: Simplify right side
    15,050.52x = 214,351,264.26
  5. Step 5: Solve for x
    x = 214,351,264.26/15,050.52
  6. Step 6: Final answer
    x = 14,242.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.