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Finding the Fourth Proportional to 21,708.95, 32,562.43 and 9,053.48

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Solution

The fourth proportional to 21,708.95, 32,562.43 and 9,053.48 is: 13,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.95 : 32,562.43 = 9,053.48 : x
  2. Step 2: Convert to fraction form
    21,708.95/32,562.43 = 9,053.48/x
  3. Step 3: Cross multiply
    21,708.95x = 32,562.43 × 9,053.48
  4. Step 4: Simplify right side
    21,708.95x = 294,803,308.76
  5. Step 5: Solve for x
    x = 294,803,308.76/21,708.95
  6. Step 6: Final answer
    x = 13,579.81

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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.