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Finding the Fourth Proportional to 17,343.90, 23,934.15 and 9,790.02

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Solution

The fourth proportional to 17,343.90, 23,934.15 and 9,790.02 is: 13,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343.90 : 23,934.15 = 9,790.02 : x
  2. Step 2: Convert to fraction form
    17,343.90/23,934.15 = 9,790.02/x
  3. Step 3: Cross multiply
    17,343.90x = 23,934.15 × 9,790.02
  4. Step 4: Simplify right side
    17,343.90x = 234,315,807.18
  5. Step 5: Solve for x
    x = 234,315,807.18/17,343.90
  6. Step 6: Final answer
    x = 13,509.98

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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.