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Finding the Fourth Proportional to 23,663.76, 32,661.68 and 14,230.50

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Solution

The fourth proportional to 23,663.76, 32,661.68 and 14,230.50 is: 19,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.76 : 32,661.68 = 14,230.50 : x
  2. Step 2: Convert to fraction form
    23,663.76/32,661.68 = 14,230.50/x
  3. Step 3: Cross multiply
    23,663.76x = 32,661.68 × 14,230.50
  4. Step 4: Simplify right side
    23,663.76x = 464,792,037.24
  5. Step 5: Solve for x
    x = 464,792,037.24/23,663.76
  6. Step 6: Final answer
    x = 19,641.51

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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.