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Finding the Fourth Proportional to 23,678.95, 32,681.19 and 14,119.46

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Solution

The fourth proportional to 23,678.95, 32,681.19 and 14,119.46 is: 19,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.95 : 32,681.19 = 14,119.46 : x
  2. Step 2: Convert to fraction form
    23,678.95/32,681.19 = 14,119.46/x
  3. Step 3: Cross multiply
    23,678.95x = 32,681.19 × 14,119.46
  4. Step 4: Simplify right side
    23,678.95x = 461,440,520.95
  5. Step 5: Solve for x
    x = 461,440,520.95/23,678.95
  6. Step 6: Final answer
    x = 19,487.37

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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.