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Finding the Fourth Proportional to 13,530.32, 18,673.64 and 7,562.40

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Solution

The fourth proportional to 13,530.32, 18,673.64 and 7,562.40 is: 10,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.32 : 18,673.64 = 7,562.40 : x
  2. Step 2: Convert to fraction form
    13,530.32/18,673.64 = 7,562.40/x
  3. Step 3: Cross multiply
    13,530.32x = 18,673.64 × 7,562.40
  4. Step 4: Simplify right side
    13,530.32x = 141,217,535.14
  5. Step 5: Solve for x
    x = 141,217,535.14/13,530.32
  6. Step 6: Final answer
    x = 10,437.12

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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.