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Finding the Fourth Proportional to 12,635.25, 17,434.59 and 7,598.26

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Solution

The fourth proportional to 12,635.25, 17,434.59 and 7,598.26 is: 10,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.25 : 17,434.59 = 7,598.26 : x
  2. Step 2: Convert to fraction form
    12,635.25/17,434.59 = 7,598.26/x
  3. Step 3: Cross multiply
    12,635.25x = 17,434.59 × 7,598.26
  4. Step 4: Simplify right side
    12,635.25x = 132,472,547.81
  5. Step 5: Solve for x
    x = 132,472,547.81/12,635.25
  6. Step 6: Final answer
    x = 10,484.36

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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.