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Finding the Fourth Proportional to 12,535.32, 17,298.02 and 6,868.94

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Solution

The fourth proportional to 12,535.32, 17,298.02 and 6,868.94 is: 9,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.32 : 17,298.02 = 6,868.94 : x
  2. Step 2: Convert to fraction form
    12,535.32/17,298.02 = 6,868.94/x
  3. Step 3: Cross multiply
    12,535.32x = 17,298.02 × 6,868.94
  4. Step 4: Simplify right side
    12,535.32x = 118,819,061.50
  5. Step 5: Solve for x
    x = 118,819,061.50/12,535.32
  6. Step 6: Final answer
    x = 9,478.74

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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.