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Finding the Fourth Proportional to 16,565.34, 24,856.92 and 12,874.98

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Solution

The fourth proportional to 16,565.34, 24,856.92 and 12,874.98 is: 19,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.34 : 24,856.92 = 12,874.98 : x
  2. Step 2: Convert to fraction form
    16,565.34/24,856.92 = 12,874.98/x
  3. Step 3: Cross multiply
    16,565.34x = 24,856.92 × 12,874.98
  4. Step 4: Simplify right side
    16,565.34x = 320,032,347.86
  5. Step 5: Solve for x
    x = 320,032,347.86/16,565.34
  6. Step 6: Final answer
    x = 19,319.40

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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.