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Finding the Fourth Proportional to 16,009.59, 24,015.54 and 6,148.87

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Solution

The fourth proportional to 16,009.59, 24,015.54 and 6,148.87 is: 9,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.59 : 24,015.54 = 6,148.87 : x
  2. Step 2: Convert to fraction form
    16,009.59/24,015.54 = 6,148.87/x
  3. Step 3: Cross multiply
    16,009.59x = 24,015.54 × 6,148.87
  4. Step 4: Simplify right side
    16,009.59x = 147,668,328.10
  5. Step 5: Solve for x
    x = 147,668,328.10/16,009.59
  6. Step 6: Final answer
    x = 9,223.74

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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.