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Finding the Fourth Proportional to 10,052.32, 15,018.97 and 9,707.80

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Solution

The fourth proportional to 10,052.32, 15,018.97 and 9,707.80 is: 14,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.32 : 15,018.97 = 9,707.80 : x
  2. Step 2: Convert to fraction form
    10,052.32/15,018.97 = 9,707.80/x
  3. Step 3: Cross multiply
    10,052.32x = 15,018.97 × 9,707.80
  4. Step 4: Simplify right side
    10,052.32x = 145,801,156.97
  5. Step 5: Solve for x
    x = 145,801,156.97/10,052.32
  6. Step 6: Final answer
    x = 14,504.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.