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Finding the Fourth Proportional to 16,006.51, 24,009.75 and 4,319.72

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Solution

The fourth proportional to 16,006.51, 24,009.75 and 4,319.72 is: 6,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.51 : 24,009.75 = 4,319.72 : x
  2. Step 2: Convert to fraction form
    16,006.51/24,009.75 = 4,319.72/x
  3. Step 3: Cross multiply
    16,006.51x = 24,009.75 × 4,319.72
  4. Step 4: Simplify right side
    16,006.51x = 103,715,397.27
  5. Step 5: Solve for x
    x = 103,715,397.27/16,006.51
  6. Step 6: Final answer
    x = 6,479.58

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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.