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Finding the Fourth Proportional to 22,604.19, 31,193.63 and 12,532.63

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Solution

The fourth proportional to 22,604.19, 31,193.63 and 12,532.63 is: 17,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.19 : 31,193.63 = 12,532.63 : x
  2. Step 2: Convert to fraction form
    22,604.19/31,193.63 = 12,532.63/x
  3. Step 3: Cross multiply
    22,604.19x = 31,193.63 × 12,532.63
  4. Step 4: Simplify right side
    22,604.19x = 390,938,246.47
  5. Step 5: Solve for x
    x = 390,938,246.47/22,604.19
  6. Step 6: Final answer
    x = 17,294.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.