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Finding the Fourth Proportional to 16,438.68, 24,655.59 and 6,048

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Solution

The fourth proportional to 16,438.68, 24,655.59 and 6,048 is: 9,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.68 : 24,655.59 = 6,048 : x
  2. Step 2: Convert to fraction form
    16,438.68/24,655.59 = 6,048/x
  3. Step 3: Cross multiply
    16,438.68x = 24,655.59 × 6,048
  4. Step 4: Simplify right side
    16,438.68x = 149,117,008.32
  5. Step 5: Solve for x
    x = 149,117,008.32/16,438.68
  6. Step 6: Final answer
    x = 9,071.11

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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.