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Finding the Fourth Proportional to 12,071.50, 16,658.72 and 7,039.20

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Solution

The fourth proportional to 12,071.50, 16,658.72 and 7,039.20 is: 9,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.50 : 16,658.72 = 7,039.20 : x
  2. Step 2: Convert to fraction form
    12,071.50/16,658.72 = 7,039.20/x
  3. Step 3: Cross multiply
    12,071.50x = 16,658.72 × 7,039.20
  4. Step 4: Simplify right side
    12,071.50x = 117,264,061.82
  5. Step 5: Solve for x
    x = 117,264,061.82/12,071.50
  6. Step 6: Final answer
    x = 9,714.13

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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.