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Finding the Fourth Proportional to 19,233.52, 26,543.06 and 10,850

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Solution

The fourth proportional to 19,233.52, 26,543.06 and 10,850 is: 14,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233.52 : 26,543.06 = 10,850 : x
  2. Step 2: Convert to fraction form
    19,233.52/26,543.06 = 10,850/x
  3. Step 3: Cross multiply
    19,233.52x = 26,543.06 × 10,850
  4. Step 4: Simplify right side
    19,233.52x = 287,992,201
  5. Step 5: Solve for x
    x = 287,992,201/19,233.52
  6. Step 6: Final answer
    x = 14,973.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.