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Finding the Fourth Proportional to 10,024.97, 15,036.84 and 3,005.00

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Solution

The fourth proportional to 10,024.97, 15,036.84 and 3,005.00 is: 4,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.97 : 15,036.84 = 3,005.00 : x
  2. Step 2: Convert to fraction form
    10,024.97/15,036.84 = 3,005.00/x
  3. Step 3: Cross multiply
    10,024.97x = 15,036.84 × 3,005.00
  4. Step 4: Simplify right side
    10,024.97x = 45,185,685.40
  5. Step 5: Solve for x
    x = 45,185,685.40/10,024.97
  6. Step 6: Final answer
    x = 4,507.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.