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Finding the Fourth Proportional to 12,535.27, 17,298.06 and 7,502.25

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Solution

The fourth proportional to 12,535.27, 17,298.06 and 7,502.25 is: 10,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.27 : 17,298.06 = 7,502.25 : x
  2. Step 2: Convert to fraction form
    12,535.27/17,298.06 = 7,502.25/x
  3. Step 3: Cross multiply
    12,535.27x = 17,298.06 × 7,502.25
  4. Step 4: Simplify right side
    12,535.27x = 129,774,333.12
  5. Step 5: Solve for x
    x = 129,774,333.12/12,535.27
  6. Step 6: Final answer
    x = 10,352.74

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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.