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Finding the Fourth Proportional to 21,931.50, 30,270.87 and 13,432.08

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Solution

The fourth proportional to 21,931.50, 30,270.87 and 13,432.08 is: 18,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931.50 : 30,270.87 = 13,432.08 : x
  2. Step 2: Convert to fraction form
    21,931.50/30,270.87 = 13,432.08/x
  3. Step 3: Cross multiply
    21,931.50x = 30,270.87 × 13,432.08
  4. Step 4: Simplify right side
    21,931.50x = 406,600,747.51
  5. Step 5: Solve for x
    x = 406,600,747.51/21,931.50
  6. Step 6: Final answer
    x = 18,539.58

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