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Finding the Fourth Proportional to 16,417.86, 24,595.65 and 9,740.25

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Solution

The fourth proportional to 16,417.86, 24,595.65 and 9,740.25 is: 14,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.86 : 24,595.65 = 9,740.25 : x
  2. Step 2: Convert to fraction form
    16,417.86/24,595.65 = 9,740.25/x
  3. Step 3: Cross multiply
    16,417.86x = 24,595.65 × 9,740.25
  4. Step 4: Simplify right side
    16,417.86x = 239,567,779.91
  5. Step 5: Solve for x
    x = 239,567,779.91/16,417.86
  6. Step 6: Final answer
    x = 14,591.90

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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.