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Finding the Fourth Proportional to 14,812.80, 22,267.80 and 10,460.40

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Solution

The fourth proportional to 14,812.80, 22,267.80 and 10,460.40 is: 15,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.80 : 22,267.80 = 10,460.40 : x
  2. Step 2: Convert to fraction form
    14,812.80/22,267.80 = 10,460.40/x
  3. Step 3: Cross multiply
    14,812.80x = 22,267.80 × 10,460.40
  4. Step 4: Simplify right side
    14,812.80x = 232,930,095.12
  5. Step 5: Solve for x
    x = 232,930,095.12/14,812.80
  6. Step 6: Final answer
    x = 15,724.92

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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.