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Finding the Fourth Proportional to 12,535.42, 17,299.06 and 6,870.08

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Solution

The fourth proportional to 12,535.42, 17,299.06 and 6,870.08 is: 9,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.42 : 17,299.06 = 6,870.08 : x
  2. Step 2: Convert to fraction form
    12,535.42/17,299.06 = 6,870.08/x
  3. Step 3: Cross multiply
    12,535.42x = 17,299.06 × 6,870.08
  4. Step 4: Simplify right side
    12,535.42x = 118,845,926.12
  5. Step 5: Solve for x
    x = 118,845,926.12/12,535.42
  6. Step 6: Final answer
    x = 9,480.81

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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.