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Finding the Fourth Proportional to 21,988.31, 30,343.13 and 13,030.50

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Solution

The fourth proportional to 21,988.31, 30,343.13 and 13,030.50 is: 17,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,988.31 : 30,343.13 = 13,030.50 : x
  2. Step 2: Convert to fraction form
    21,988.31/30,343.13 = 13,030.50/x
  3. Step 3: Cross multiply
    21,988.31x = 30,343.13 × 13,030.50
  4. Step 4: Simplify right side
    21,988.31x = 395,386,090.31
  5. Step 5: Solve for x
    x = 395,386,090.31/21,988.31
  6. Step 6: Final answer
    x = 17,981.65

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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.