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Finding the Fourth Proportional to 21,132.34, 31,670.95 and 18,897.96

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Solution

The fourth proportional to 21,132.34, 31,670.95 and 18,897.96 is: 28,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.34 : 31,670.95 = 18,897.96 : x
  2. Step 2: Convert to fraction form
    21,132.34/31,670.95 = 18,897.96/x
  3. Step 3: Cross multiply
    21,132.34x = 31,670.95 × 18,897.96
  4. Step 4: Simplify right side
    21,132.34x = 598,516,275.07
  5. Step 5: Solve for x
    x = 598,516,275.07/21,132.34
  6. Step 6: Final answer
    x = 28,322.29

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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.