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Finding the Fourth Proportional to 14,581.86, 20,117.93 and 8,207.16

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Solution

The fourth proportional to 14,581.86, 20,117.93 and 8,207.16 is: 11,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,581.86 : 20,117.93 = 8,207.16 : x
  2. Step 2: Convert to fraction form
    14,581.86/20,117.93 = 8,207.16/x
  3. Step 3: Cross multiply
    14,581.86x = 20,117.93 × 8,207.16
  4. Step 4: Simplify right side
    14,581.86x = 165,111,070.38
  5. Step 5: Solve for x
    x = 165,111,070.38/14,581.86
  6. Step 6: Final answer
    x = 11,323.05

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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.