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Finding the Fourth Proportional to 21,005.84, 28,988.16 and 11,574.38

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Solution

The fourth proportional to 21,005.84, 28,988.16 and 11,574.38 is: 15,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.84 : 28,988.16 = 11,574.38 : x
  2. Step 2: Convert to fraction form
    21,005.84/28,988.16 = 11,574.38/x
  3. Step 3: Cross multiply
    21,005.84x = 28,988.16 × 11,574.38
  4. Step 4: Simplify right side
    21,005.84x = 335,519,979.34
  5. Step 5: Solve for x
    x = 335,519,979.34/21,005.84
  6. Step 6: Final answer
    x = 15,972.70

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Why These Related Problems?

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