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Finding the Fourth Proportional to 21,502.80, 29,673 and 12,071.16

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Solution

The fourth proportional to 21,502.80, 29,673 and 12,071.16 is: 16,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.80 : 29,673 = 12,071.16 : x
  2. Step 2: Convert to fraction form
    21,502.80/29,673 = 12,071.16/x
  3. Step 3: Cross multiply
    21,502.80x = 29,673 × 12,071.16
  4. Step 4: Simplify right side
    21,502.80x = 358,187,530.68
  5. Step 5: Solve for x
    x = 358,187,530.68/21,502.80
  6. Step 6: Final answer
    x = 16,657.72

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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.