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Finding the Fourth Proportional to 16,281.42, 24,405.38 and 7,402.92

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Solution

The fourth proportional to 16,281.42, 24,405.38 and 7,402.92 is: 11,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.42 : 24,405.38 = 7,402.92 : x
  2. Step 2: Convert to fraction form
    16,281.42/24,405.38 = 7,402.92/x
  3. Step 3: Cross multiply
    16,281.42x = 24,405.38 × 7,402.92
  4. Step 4: Simplify right side
    16,281.42x = 180,671,075.71
  5. Step 5: Solve for x
    x = 180,671,075.71/16,281.42
  6. Step 6: Final answer
    x = 11,096.76

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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.