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Finding the Fourth Proportional to 19,618.40, 29,430.57 and 7,931.18

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Solution

The fourth proportional to 19,618.40, 29,430.57 and 7,931.18 is: 11,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,618.40 : 29,430.57 = 7,931.18 : x
  2. Step 2: Convert to fraction form
    19,618.40/29,430.57 = 7,931.18/x
  3. Step 3: Cross multiply
    19,618.40x = 29,430.57 × 7,931.18
  4. Step 4: Simplify right side
    19,618.40x = 233,419,001.02
  5. Step 5: Solve for x
    x = 233,419,001.02/19,618.40
  6. Step 6: Final answer
    x = 11,897.97

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