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Finding the Fourth Proportional to 12,565.61, 18,830.98 and 5,535.08

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Solution

The fourth proportional to 12,565.61, 18,830.98 and 5,535.08 is: 8,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.61 : 18,830.98 = 5,535.08 : x
  2. Step 2: Convert to fraction form
    12,565.61/18,830.98 = 5,535.08/x
  3. Step 3: Cross multiply
    12,565.61x = 18,830.98 × 5,535.08
  4. Step 4: Simplify right side
    12,565.61x = 104,230,980.78
  5. Step 5: Solve for x
    x = 104,230,980.78/12,565.61
  6. Step 6: Final answer
    x = 8,294.94

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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.