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Finding the Fourth Proportional to 19,646.40, 29,476.90 and 9,121.62

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Solution

The fourth proportional to 19,646.40, 29,476.90 and 9,121.62 is: 13,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.40 : 29,476.90 = 9,121.62 : x
  2. Step 2: Convert to fraction form
    19,646.40/29,476.90 = 9,121.62/x
  3. Step 3: Cross multiply
    19,646.40x = 29,476.90 × 9,121.62
  4. Step 4: Simplify right side
    19,646.40x = 268,877,080.58
  5. Step 5: Solve for x
    x = 268,877,080.58/19,646.40
  6. Step 6: Final answer
    x = 13,685.82

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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.