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Finding the Fourth Proportional to 22,506.40, 31,056.15 and 12,434.23

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Solution

The fourth proportional to 22,506.40, 31,056.15 and 12,434.23 is: 17,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.40 : 31,056.15 = 12,434.23 : x
  2. Step 2: Convert to fraction form
    22,506.40/31,056.15 = 12,434.23/x
  3. Step 3: Cross multiply
    22,506.40x = 31,056.15 × 12,434.23
  4. Step 4: Simplify right side
    22,506.40x = 386,159,312.01
  5. Step 5: Solve for x
    x = 386,159,312.01/22,506.40
  6. Step 6: Final answer
    x = 17,157.76

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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.