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Finding the Fourth Proportional to 15,402.07, 21,255.78 and 9,032.23

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Solution

The fourth proportional to 15,402.07, 21,255.78 and 9,032.23 is: 12,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,402.07 : 21,255.78 = 9,032.23 : x
  2. Step 2: Convert to fraction form
    15,402.07/21,255.78 = 9,032.23/x
  3. Step 3: Cross multiply
    15,402.07x = 21,255.78 × 9,032.23
  4. Step 4: Simplify right side
    15,402.07x = 191,987,093.79
  5. Step 5: Solve for x
    x = 191,987,093.79/15,402.07
  6. Step 6: Final answer
    x = 12,465.02

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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.