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Finding the Fourth Proportional to 24,031.40, 36,014.70 and 16,111.40

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Solution

The fourth proportional to 24,031.40, 36,014.70 and 16,111.40 is: 24,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.40 : 36,014.70 = 16,111.40 : x
  2. Step 2: Convert to fraction form
    24,031.40/36,014.70 = 16,111.40/x
  3. Step 3: Cross multiply
    24,031.40x = 36,014.70 × 16,111.40
  4. Step 4: Simplify right side
    24,031.40x = 580,247,237.58
  5. Step 5: Solve for x
    x = 580,247,237.58/24,031.40
  6. Step 6: Final answer
    x = 24,145.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.