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Finding the Fourth Proportional to 14,053.68, 19,396.80 and 9,024.28

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Solution

The fourth proportional to 14,053.68, 19,396.80 and 9,024.28 is: 12,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.68 : 19,396.80 = 9,024.28 : x
  2. Step 2: Convert to fraction form
    14,053.68/19,396.80 = 9,024.28/x
  3. Step 3: Cross multiply
    14,053.68x = 19,396.80 × 9,024.28
  4. Step 4: Simplify right side
    14,053.68x = 175,042,154.30
  5. Step 5: Solve for x
    x = 175,042,154.30/14,053.68
  6. Step 6: Final answer
    x = 12,455.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.