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Finding the Fourth Proportional to 13,737.40, 20,590.14 and 6,326.30

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Solution

The fourth proportional to 13,737.40, 20,590.14 and 6,326.30 is: 9,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.40 : 20,590.14 = 6,326.30 : x
  2. Step 2: Convert to fraction form
    13,737.40/20,590.14 = 6,326.30/x
  3. Step 3: Cross multiply
    13,737.40x = 20,590.14 × 6,326.30
  4. Step 4: Simplify right side
    13,737.40x = 130,259,402.68
  5. Step 5: Solve for x
    x = 130,259,402.68/13,737.40
  6. Step 6: Final answer
    x = 9,482.10

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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.