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Finding the Fourth Proportional to 23,167.38, 31,971 and 12,557.01

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Solution

The fourth proportional to 23,167.38, 31,971 and 12,557.01 is: 17,328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,167.38 : 31,971 = 12,557.01 : x
  2. Step 2: Convert to fraction form
    23,167.38/31,971 = 12,557.01/x
  3. Step 3: Cross multiply
    23,167.38x = 31,971 × 12,557.01
  4. Step 4: Simplify right side
    23,167.38x = 401,460,166.71
  5. Step 5: Solve for x
    x = 401,460,166.71/23,167.38
  6. Step 6: Final answer
    x = 17,328.68

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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.