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Finding the Fourth Proportional to 18,271.34, 25,214.47 and 9,887.84

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Solution

The fourth proportional to 18,271.34, 25,214.47 and 9,887.84 is: 13,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.34 : 25,214.47 = 9,887.84 : x
  2. Step 2: Convert to fraction form
    18,271.34/25,214.47 = 9,887.84/x
  3. Step 3: Cross multiply
    18,271.34x = 25,214.47 × 9,887.84
  4. Step 4: Simplify right side
    18,271.34x = 249,316,494.25
  5. Step 5: Solve for x
    x = 249,316,494.25/18,271.34
  6. Step 6: Final answer
    x = 13,645.23

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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.