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Finding the Fourth Proportional to 21,515.95, 32,237.52 and 13,178.53

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Solution

The fourth proportional to 21,515.95, 32,237.52 and 13,178.53 is: 19,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,515.95 : 32,237.52 = 13,178.53 : x
  2. Step 2: Convert to fraction form
    21,515.95/32,237.52 = 13,178.53/x
  3. Step 3: Cross multiply
    21,515.95x = 32,237.52 × 13,178.53
  4. Step 4: Simplify right side
    21,515.95x = 424,843,124.45
  5. Step 5: Solve for x
    x = 424,843,124.45/21,515.95
  6. Step 6: Final answer
    x = 19,745.50

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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.