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Finding the Fourth Proportional to 13,026.52, 19,528.26 and 7,543

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Solution

The fourth proportional to 13,026.52, 19,528.26 and 7,543 is: 11,307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.52 : 19,528.26 = 7,543 : x
  2. Step 2: Convert to fraction form
    13,026.52/19,528.26 = 7,543/x
  3. Step 3: Cross multiply
    13,026.52x = 19,528.26 × 7,543
  4. Step 4: Simplify right side
    13,026.52x = 147,301,665.18
  5. Step 5: Solve for x
    x = 147,301,665.18/13,026.52
  6. Step 6: Final answer
    x = 11,307.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.