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Finding the Fourth Proportional to 18,133.50, 25,024.32 and 10,585.07

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Solution

The fourth proportional to 18,133.50, 25,024.32 and 10,585.07 is: 14,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.50 : 25,024.32 = 10,585.07 : x
  2. Step 2: Convert to fraction form
    18,133.50/25,024.32 = 10,585.07/x
  3. Step 3: Cross multiply
    18,133.50x = 25,024.32 × 10,585.07
  4. Step 4: Simplify right side
    18,133.50x = 264,884,053.78
  5. Step 5: Solve for x
    x = 264,884,053.78/18,133.50
  6. Step 6: Final answer
    x = 14,607.44

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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.