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Finding the Fourth Proportional to 16,176, 22,325.04 and 10,590.24

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Solution

The fourth proportional to 16,176, 22,325.04 and 10,590.24 is: 14,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176 : 22,325.04 = 10,590.24 : x
  2. Step 2: Convert to fraction form
    16,176/22,325.04 = 10,590.24/x
  3. Step 3: Cross multiply
    16,176x = 22,325.04 × 10,590.24
  4. Step 4: Simplify right side
    16,176x = 236,427,531.61
  5. Step 5: Solve for x
    x = 236,427,531.61/16,176
  6. Step 6: Final answer
    x = 14,615.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.