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Finding the Fourth Proportional to 14,802.52, 22,178.20 and 10,399.36

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Solution

The fourth proportional to 14,802.52, 22,178.20 and 10,399.36 is: 15,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.52 : 22,178.20 = 10,399.36 : x
  2. Step 2: Convert to fraction form
    14,802.52/22,178.20 = 10,399.36/x
  3. Step 3: Cross multiply
    14,802.52x = 22,178.20 × 10,399.36
  4. Step 4: Simplify right side
    14,802.52x = 230,639,085.95
  5. Step 5: Solve for x
    x = 230,639,085.95/14,802.52
  6. Step 6: Final answer
    x = 15,581.07

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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.