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Finding the Fourth Proportional to 19,256.24, 28,881.12 and 5,402

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Solution

The fourth proportional to 19,256.24, 28,881.12 and 5,402 is: 8,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256.24 : 28,881.12 = 5,402 : x
  2. Step 2: Convert to fraction form
    19,256.24/28,881.12 = 5,402/x
  3. Step 3: Cross multiply
    19,256.24x = 28,881.12 × 5,402
  4. Step 4: Simplify right side
    19,256.24x = 156,015,810.24
  5. Step 5: Solve for x
    x = 156,015,810.24/19,256.24
  6. Step 6: Final answer
    x = 8,102.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.