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Finding the Fourth Proportional to 12,535.68, 18,788.84 and 6,292.32

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Solution

The fourth proportional to 12,535.68, 18,788.84 and 6,292.32 is: 9,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.68 : 18,788.84 = 6,292.32 : x
  2. Step 2: Convert to fraction form
    12,535.68/18,788.84 = 6,292.32/x
  3. Step 3: Cross multiply
    12,535.68x = 18,788.84 × 6,292.32
  4. Step 4: Simplify right side
    12,535.68x = 118,225,393.71
  5. Step 5: Solve for x
    x = 118,225,393.71/12,535.68
  6. Step 6: Final answer
    x = 9,431.11

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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.