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Finding the Fourth Proportional to 12,946.04, 17,861.36 and 7,642.16

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Solution

The fourth proportional to 12,946.04, 17,861.36 and 7,642.16 is: 10,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.04 : 17,861.36 = 7,642.16 : x
  2. Step 2: Convert to fraction form
    12,946.04/17,861.36 = 7,642.16/x
  3. Step 3: Cross multiply
    12,946.04x = 17,861.36 × 7,642.16
  4. Step 4: Simplify right side
    12,946.04x = 136,499,370.94
  5. Step 5: Solve for x
    x = 136,499,370.94/12,946.04
  6. Step 6: Final answer
    x = 10,543.72

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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.