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Finding the Fourth Proportional to 19,776, 29,637.76 and 16,495.52

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Solution

The fourth proportional to 19,776, 29,637.76 and 16,495.52 is: 24,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776 : 29,637.76 = 16,495.52 : x
  2. Step 2: Convert to fraction form
    19,776/29,637.76 = 16,495.52/x
  3. Step 3: Cross multiply
    19,776x = 29,637.76 × 16,495.52
  4. Step 4: Simplify right side
    19,776x = 488,890,262.84
  5. Step 5: Solve for x
    x = 488,890,262.84/19,776
  6. Step 6: Final answer
    x = 24,721.39

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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.