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Finding the Fourth Proportional to 19,781.76, 29,663.08 and 7,307.66

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Solution

The fourth proportional to 19,781.76, 29,663.08 and 7,307.66 is: 10,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.76 : 29,663.08 = 7,307.66 : x
  2. Step 2: Convert to fraction form
    19,781.76/29,663.08 = 7,307.66/x
  3. Step 3: Cross multiply
    19,781.76x = 29,663.08 × 7,307.66
  4. Step 4: Simplify right side
    19,781.76x = 216,767,759.08
  5. Step 5: Solve for x
    x = 216,767,759.08/19,781.76
  6. Step 6: Final answer
    x = 10,957.96

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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.