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Finding the Fourth Proportional to 23,098.37, 31,875.74 and 12,488

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Solution

The fourth proportional to 23,098.37, 31,875.74 and 12,488 is: 17,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.37 : 31,875.74 = 12,488 : x
  2. Step 2: Convert to fraction form
    23,098.37/31,875.74 = 12,488/x
  3. Step 3: Cross multiply
    23,098.37x = 31,875.74 × 12,488
  4. Step 4: Simplify right side
    23,098.37x = 398,064,241.12
  5. Step 5: Solve for x
    x = 398,064,241.12/23,098.37
  6. Step 6: Final answer
    x = 17,233.43

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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.