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Finding the Fourth Proportional to 23,454.98, 32,334.52 and 14,497.42

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Solution

The fourth proportional to 23,454.98, 32,334.52 and 14,497.42 is: 19,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.98 : 32,334.52 = 14,497.42 : x
  2. Step 2: Convert to fraction form
    23,454.98/32,334.52 = 14,497.42/x
  3. Step 3: Cross multiply
    23,454.98x = 32,334.52 × 14,497.42
  4. Step 4: Simplify right side
    23,454.98x = 468,767,116.94
  5. Step 5: Solve for x
    x = 468,767,116.94/23,454.98
  6. Step 6: Final answer
    x = 19,985.82

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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.