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Finding the Fourth Proportional to 22,602.66, 31,191.48 and 12,531.66

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Solution

The fourth proportional to 22,602.66, 31,191.48 and 12,531.66 is: 17,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.66 : 31,191.48 = 12,531.66 : x
  2. Step 2: Convert to fraction form
    22,602.66/31,191.48 = 12,531.66/x
  3. Step 3: Cross multiply
    22,602.66x = 31,191.48 × 12,531.66
  4. Step 4: Simplify right side
    22,602.66x = 390,881,022.26
  5. Step 5: Solve for x
    x = 390,881,022.26/22,602.66
  6. Step 6: Final answer
    x = 17,293.59

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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.