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Finding the Fourth Proportional to 22,598.92, 31,188.38 and 12,530.52

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Solution

The fourth proportional to 22,598.92, 31,188.38 and 12,530.52 is: 17,293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598.92 : 31,188.38 = 12,530.52 : x
  2. Step 2: Convert to fraction form
    22,598.92/31,188.38 = 12,530.52/x
  3. Step 3: Cross multiply
    22,598.92x = 31,188.38 × 12,530.52
  4. Step 4: Simplify right side
    22,598.92x = 390,806,619.36
  5. Step 5: Solve for x
    x = 390,806,619.36/22,598.92
  6. Step 6: Final answer
    x = 17,293.15

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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.