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Finding the Fourth Proportional to 18,107.08, 24,989.38 and 10,553

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Solution

The fourth proportional to 18,107.08, 24,989.38 and 10,553 is: 14,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,107.08 : 24,989.38 = 10,553 : x
  2. Step 2: Convert to fraction form
    18,107.08/24,989.38 = 10,553/x
  3. Step 3: Cross multiply
    18,107.08x = 24,989.38 × 10,553
  4. Step 4: Simplify right side
    18,107.08x = 263,712,927.14
  5. Step 5: Solve for x
    x = 263,712,927.14/18,107.08
  6. Step 6: Final answer
    x = 14,564.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.