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Finding the Fourth Proportional to 16,095.58, 24,143.39 and 9,155.50

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Solution

The fourth proportional to 16,095.58, 24,143.39 and 9,155.50 is: 13,733.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.58 : 24,143.39 = 9,155.50 : x
  2. Step 2: Convert to fraction form
    16,095.58/24,143.39 = 9,155.50/x
  3. Step 3: Cross multiply
    16,095.58x = 24,143.39 × 9,155.50
  4. Step 4: Simplify right side
    16,095.58x = 221,044,807.15
  5. Step 5: Solve for x
    x = 221,044,807.15/16,095.58
  6. Step 6: Final answer
    x = 13,733.26

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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.