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Finding the Fourth Proportional to 22,506.09, 31,058.74 and 12,434.77

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Solution

The fourth proportional to 22,506.09, 31,058.74 and 12,434.77 is: 17,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.09 : 31,058.74 = 12,434.77 : x
  2. Step 2: Convert to fraction form
    22,506.09/31,058.74 = 12,434.77/x
  3. Step 3: Cross multiply
    22,506.09x = 31,058.74 × 12,434.77
  4. Step 4: Simplify right side
    22,506.09x = 386,208,144.70
  5. Step 5: Solve for x
    x = 386,208,144.70/22,506.09
  6. Step 6: Final answer
    x = 17,160.16

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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.