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Finding the Fourth Proportional to 21,005.74, 28,988.01 and 11,574.31

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Solution

The fourth proportional to 21,005.74, 28,988.01 and 11,574.31 is: 15,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.74 : 28,988.01 = 11,574.31 : x
  2. Step 2: Convert to fraction form
    21,005.74/28,988.01 = 11,574.31/x
  3. Step 3: Cross multiply
    21,005.74x = 28,988.01 × 11,574.31
  4. Step 4: Simplify right side
    21,005.74x = 335,516,214.02
  5. Step 5: Solve for x
    x = 335,516,214.02/21,005.74
  6. Step 6: Final answer
    x = 15,972.60

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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.