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Finding the Fourth Proportional to 21,710.94, 32,595.83 and 15,031.40

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Solution

The fourth proportional to 21,710.94, 32,595.83 and 15,031.40 is: 22,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.94 : 32,595.83 = 15,031.40 : x
  2. Step 2: Convert to fraction form
    21,710.94/32,595.83 = 15,031.40/x
  3. Step 3: Cross multiply
    21,710.94x = 32,595.83 × 15,031.40
  4. Step 4: Simplify right side
    21,710.94x = 489,960,959.06
  5. Step 5: Solve for x
    x = 489,960,959.06/21,710.94
  6. Step 6: Final answer
    x = 22,567.47

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