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Finding the Fourth Proportional to 19,870.47, 29,802.47 and 7,387.56

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Solution

The fourth proportional to 19,870.47, 29,802.47 and 7,387.56 is: 11,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.47 : 29,802.47 = 7,387.56 : x
  2. Step 2: Convert to fraction form
    19,870.47/29,802.47 = 7,387.56/x
  3. Step 3: Cross multiply
    19,870.47x = 29,802.47 × 7,387.56
  4. Step 4: Simplify right side
    19,870.47x = 220,167,498.34
  5. Step 5: Solve for x
    x = 220,167,498.34/19,870.47
  6. Step 6: Final answer
    x = 11,080.14

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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.