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Finding the Fourth Proportional to 24,399.63, 36,598.53 and 6,869.00

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Solution

The fourth proportional to 24,399.63, 36,598.53 and 6,869.00 is: 10,303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399.63 : 36,598.53 = 6,869.00 : x
  2. Step 2: Convert to fraction form
    24,399.63/36,598.53 = 6,869.00/x
  3. Step 3: Cross multiply
    24,399.63x = 36,598.53 × 6,869.00
  4. Step 4: Simplify right side
    24,399.63x = 251,395,419.83
  5. Step 5: Solve for x
    x = 251,395,419.83/24,399.63
  6. Step 6: Final answer
    x = 10,303.25

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Why These Related Problems?

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