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Finding the Fourth Proportional to 16,045.40, 24,051.69 and 6,180.81

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Solution

The fourth proportional to 16,045.40, 24,051.69 and 6,180.81 is: 9,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.40 : 24,051.69 = 6,180.81 : x
  2. Step 2: Convert to fraction form
    16,045.40/24,051.69 = 6,180.81/x
  3. Step 3: Cross multiply
    16,045.40x = 24,051.69 × 6,180.81
  4. Step 4: Simplify right side
    16,045.40x = 148,658,926.07
  5. Step 5: Solve for x
    x = 148,658,926.07/16,045.40
  6. Step 6: Final answer
    x = 9,264.90

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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.