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Finding the Fourth Proportional to 13,390.10, 18,478.02 and 7,724.86

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Solution

The fourth proportional to 13,390.10, 18,478.02 and 7,724.86 is: 10,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.10 : 18,478.02 = 7,724.86 : x
  2. Step 2: Convert to fraction form
    13,390.10/18,478.02 = 7,724.86/x
  3. Step 3: Cross multiply
    13,390.10x = 18,478.02 × 7,724.86
  4. Step 4: Simplify right side
    13,390.10x = 142,740,071.38
  5. Step 5: Solve for x
    x = 142,740,071.38/13,390.10
  6. Step 6: Final answer
    x = 10,660.12

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Why These Related Problems?

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