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Finding the Fourth Proportional to 13,710.60, 20,565.90 and 12,155.40

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Solution

The fourth proportional to 13,710.60, 20,565.90 and 12,155.40 is: 18,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.60 : 20,565.90 = 12,155.40 : x
  2. Step 2: Convert to fraction form
    13,710.60/20,565.90 = 12,155.40/x
  3. Step 3: Cross multiply
    13,710.60x = 20,565.90 × 12,155.40
  4. Step 4: Simplify right side
    13,710.60x = 249,986,740.86
  5. Step 5: Solve for x
    x = 249,986,740.86/13,710.60
  6. Step 6: Final answer
    x = 18,233.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.