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Finding the Fourth Proportional to 21,005.64, 28,987.61 and 11,574

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Solution

The fourth proportional to 21,005.64, 28,987.61 and 11,574 is: 15,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.64 : 28,987.61 = 11,574 : x
  2. Step 2: Convert to fraction form
    21,005.64/28,987.61 = 11,574/x
  3. Step 3: Cross multiply
    21,005.64x = 28,987.61 × 11,574
  4. Step 4: Simplify right side
    21,005.64x = 335,502,540.27
  5. Step 5: Solve for x
    x = 335,502,540.27/21,005.64
  6. Step 6: Final answer
    x = 15,972.02

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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.