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Finding the Fourth Proportional to 14,701.47, 20,288.42 and 7,987.51

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Solution

The fourth proportional to 14,701.47, 20,288.42 and 7,987.51 is: 11,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.47 : 20,288.42 = 7,987.51 : x
  2. Step 2: Convert to fraction form
    14,701.47/20,288.42 = 7,987.51/x
  3. Step 3: Cross multiply
    14,701.47x = 20,288.42 × 7,987.51
  4. Step 4: Simplify right side
    14,701.47x = 162,053,957.63
  5. Step 5: Solve for x
    x = 162,053,957.63/14,701.47
  6. Step 6: Final answer
    x = 11,022.98

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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.