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Finding the Fourth Proportional to 15,368.32, 21,222.17 and 9,713.10

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Solution

The fourth proportional to 15,368.32, 21,222.17 and 9,713.10 is: 13,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,368.32 : 21,222.17 = 9,713.10 : x
  2. Step 2: Convert to fraction form
    15,368.32/21,222.17 = 9,713.10/x
  3. Step 3: Cross multiply
    15,368.32x = 21,222.17 × 9,713.10
  4. Step 4: Simplify right side
    15,368.32x = 206,133,059.43
  5. Step 5: Solve for x
    x = 206,133,059.43/15,368.32
  6. Step 6: Final answer
    x = 13,412.86

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