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Finding the Fourth Proportional to 16,036.61, 24,055.90 and 6,175.90

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Solution

The fourth proportional to 16,036.61, 24,055.90 and 6,175.90 is: 9,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.61 : 24,055.90 = 6,175.90 : x
  2. Step 2: Convert to fraction form
    16,036.61/24,055.90 = 6,175.90/x
  3. Step 3: Cross multiply
    16,036.61x = 24,055.90 × 6,175.90
  4. Step 4: Simplify right side
    16,036.61x = 148,566,788.11
  5. Step 5: Solve for x
    x = 148,566,788.11/16,036.61
  6. Step 6: Final answer
    x = 9,264.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.