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Finding the Fourth Proportional to 23,560.76, 32,512.14 and 14,000.23

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Solution

The fourth proportional to 23,560.76, 32,512.14 and 14,000.23 is: 19,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.76 : 32,512.14 = 14,000.23 : x
  2. Step 2: Convert to fraction form
    23,560.76/32,512.14 = 14,000.23/x
  3. Step 3: Cross multiply
    23,560.76x = 32,512.14 × 14,000.23
  4. Step 4: Simplify right side
    23,560.76x = 455,177,356.51
  5. Step 5: Solve for x
    x = 455,177,356.51/23,560.76
  6. Step 6: Final answer
    x = 19,319.30

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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.