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Finding the Fourth Proportional to 16,038.66, 24,079.81 and 9,023.61

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Solution

The fourth proportional to 16,038.66, 24,079.81 and 9,023.61 is: 13,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038.66 : 24,079.81 = 9,023.61 : x
  2. Step 2: Convert to fraction form
    16,038.66/24,079.81 = 9,023.61/x
  3. Step 3: Cross multiply
    16,038.66x = 24,079.81 × 9,023.61
  4. Step 4: Simplify right side
    16,038.66x = 217,286,791.76
  5. Step 5: Solve for x
    x = 217,286,791.76/16,038.66
  6. Step 6: Final answer
    x = 13,547.69

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1.5x scale

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.