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Finding the Fourth Proportional to 18,266.50, 25,207.95 and 9,883.18

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Solution

The fourth proportional to 18,266.50, 25,207.95 and 9,883.18 is: 13,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.50 : 25,207.95 = 9,883.18 : x
  2. Step 2: Convert to fraction form
    18,266.50/25,207.95 = 9,883.18/x
  3. Step 3: Cross multiply
    18,266.50x = 25,207.95 × 9,883.18
  4. Step 4: Simplify right side
    18,266.50x = 249,134,707.28
  5. Step 5: Solve for x
    x = 249,134,707.28/18,266.50
  6. Step 6: Final answer
    x = 13,638.89

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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.