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Finding the Fourth Proportional to 23,675.76, 32,678.28 and 14,242.50

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Solution

The fourth proportional to 23,675.76, 32,678.28 and 14,242.50 is: 19,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.76 : 32,678.28 = 14,242.50 : x
  2. Step 2: Convert to fraction form
    23,675.76/32,678.28 = 14,242.50/x
  3. Step 3: Cross multiply
    23,675.76x = 32,678.28 × 14,242.50
  4. Step 4: Simplify right side
    23,675.76x = 465,420,402.90
  5. Step 5: Solve for x
    x = 465,420,402.90/23,675.76
  6. Step 6: Final answer
    x = 19,658.10

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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.