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Finding the Fourth Proportional to 14,590.32, 20,130 and 8,624.04

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Solution

The fourth proportional to 14,590.32, 20,130 and 8,624.04 is: 11,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.32 : 20,130 = 8,624.04 : x
  2. Step 2: Convert to fraction form
    14,590.32/20,130 = 8,624.04/x
  3. Step 3: Cross multiply
    14,590.32x = 20,130 × 8,624.04
  4. Step 4: Simplify right side
    14,590.32x = 173,601,925.20
  5. Step 5: Solve for x
    x = 173,601,925.20/14,590.32
  6. Step 6: Final answer
    x = 11,898.43

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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.