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Finding the Fourth Proportional to 21,703.47, 32,581.79 and 14,314.11

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Solution

The fourth proportional to 21,703.47, 32,581.79 and 14,314.11 is: 21,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.47 : 32,581.79 = 14,314.11 : x
  2. Step 2: Convert to fraction form
    21,703.47/32,581.79 = 14,314.11/x
  3. Step 3: Cross multiply
    21,703.47x = 32,581.79 × 14,314.11
  4. Step 4: Simplify right side
    21,703.47x = 466,379,326.06
  5. Step 5: Solve for x
    x = 466,379,326.06/21,703.47
  6. Step 6: Final answer
    x = 21,488.70

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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.