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Finding the Fourth Proportional to 13,429.86, 20,125.62 and 6,404.10

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Solution

The fourth proportional to 13,429.86, 20,125.62 and 6,404.10 is: 9,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.86 : 20,125.62 = 6,404.10 : x
  2. Step 2: Convert to fraction form
    13,429.86/20,125.62 = 6,404.10/x
  3. Step 3: Cross multiply
    13,429.86x = 20,125.62 × 6,404.10
  4. Step 4: Simplify right side
    13,429.86x = 128,886,483.04
  5. Step 5: Solve for x
    x = 128,886,483.04/13,429.86
  6. Step 6: Final answer
    x = 9,597.01

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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.