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Finding the Fourth Proportional to 23,635.98, 32,603.22 and 14,069.48

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Solution

The fourth proportional to 23,635.98, 32,603.22 and 14,069.48 is: 19,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.98 : 32,603.22 = 14,069.48 : x
  2. Step 2: Convert to fraction form
    23,635.98/32,603.22 = 14,069.48/x
  3. Step 3: Cross multiply
    23,635.98x = 32,603.22 × 14,069.48
  4. Step 4: Simplify right side
    23,635.98x = 458,710,188.71
  5. Step 5: Solve for x
    x = 458,710,188.71/23,635.98
  6. Step 6: Final answer
    x = 19,407.28

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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.