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Finding the Fourth Proportional to 13,246.12, 18,279.54 and 7,657

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Solution

The fourth proportional to 13,246.12, 18,279.54 and 7,657 is: 10,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246.12 : 18,279.54 = 7,657 : x
  2. Step 2: Convert to fraction form
    13,246.12/18,279.54 = 7,657/x
  3. Step 3: Cross multiply
    13,246.12x = 18,279.54 × 7,657
  4. Step 4: Simplify right side
    13,246.12x = 139,966,437.78
  5. Step 5: Solve for x
    x = 139,966,437.78/13,246.12
  6. Step 6: Final answer
    x = 10,566.60

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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.