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Finding the Fourth Proportional to 21,898.25, 32,818.80 and 10,047.74

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Solution

The fourth proportional to 21,898.25, 32,818.80 and 10,047.74 is: 15,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.25 : 32,818.80 = 10,047.74 : x
  2. Step 2: Convert to fraction form
    21,898.25/32,818.80 = 10,047.74/x
  3. Step 3: Cross multiply
    21,898.25x = 32,818.80 × 10,047.74
  4. Step 4: Simplify right side
    21,898.25x = 329,754,769.51
  5. Step 5: Solve for x
    x = 329,754,769.51/21,898.25
  6. Step 6: Final answer
    x = 15,058.50

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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.