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Finding the Fourth Proportional to 13,405.29, 18,499.15 and 7,437

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Solution

The fourth proportional to 13,405.29, 18,499.15 and 7,437 is: 10,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.29 : 18,499.15 = 7,437 : x
  2. Step 2: Convert to fraction form
    13,405.29/18,499.15 = 7,437/x
  3. Step 3: Cross multiply
    13,405.29x = 18,499.15 × 7,437
  4. Step 4: Simplify right side
    13,405.29x = 137,578,178.55
  5. Step 5: Solve for x
    x = 137,578,178.55/13,405.29
  6. Step 6: Final answer
    x = 10,262.98

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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.