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Finding the Fourth Proportional to 23,489.84, 32,415.92 and 14,058.40

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Solution

The fourth proportional to 23,489.84, 32,415.92 and 14,058.40 is: 19,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.84 : 32,415.92 = 14,058.40 : x
  2. Step 2: Convert to fraction form
    23,489.84/32,415.92 = 14,058.40/x
  3. Step 3: Cross multiply
    23,489.84x = 32,415.92 × 14,058.40
  4. Step 4: Simplify right side
    23,489.84x = 455,715,969.73
  5. Step 5: Solve for x
    x = 455,715,969.73/23,489.84
  6. Step 6: Final answer
    x = 19,400.56

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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.