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Finding the Fourth Proportional to 12,533.57, 17,296.32 and 7,498.00

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Solution

The fourth proportional to 12,533.57, 17,296.32 and 7,498.00 is: 10,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.57 : 17,296.32 = 7,498.00 : x
  2. Step 2: Convert to fraction form
    12,533.57/17,296.32 = 7,498.00/x
  3. Step 3: Cross multiply
    12,533.57x = 17,296.32 × 7,498.00
  4. Step 4: Simplify right side
    12,533.57x = 129,687,683.39
  5. Step 5: Solve for x
    x = 129,687,683.39/12,533.57
  6. Step 6: Final answer
    x = 10,347.23

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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.