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Finding the Fourth Proportional to 22,506.68, 31,058.70 and 12,434.60

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Solution

The fourth proportional to 22,506.68, 31,058.70 and 12,434.60 is: 17,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.68 : 31,058.70 = 12,434.60 : x
  2. Step 2: Convert to fraction form
    22,506.68/31,058.70 = 12,434.60/x
  3. Step 3: Cross multiply
    22,506.68x = 31,058.70 × 12,434.60
  4. Step 4: Simplify right side
    22,506.68x = 386,202,511.02
  5. Step 5: Solve for x
    x = 386,202,511.02/22,506.68
  6. Step 6: Final answer
    x = 17,159.46

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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.