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Finding the Fourth Proportional to 19,802.29, 29,703.72 and 6,654.76

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Solution

The fourth proportional to 19,802.29, 29,703.72 and 6,654.76 is: 9,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.29 : 29,703.72 = 6,654.76 : x
  2. Step 2: Convert to fraction form
    19,802.29/29,703.72 = 6,654.76/x
  3. Step 3: Cross multiply
    19,802.29x = 29,703.72 × 6,654.76
  4. Step 4: Simplify right side
    19,802.29x = 197,671,127.71
  5. Step 5: Solve for x
    x = 197,671,127.71/19,802.29
  6. Step 6: Final answer
    x = 9,982.24

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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.