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Finding the Fourth Proportional to 22,838.30, 34,256.96 and 10,526.30

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Solution

The fourth proportional to 22,838.30, 34,256.96 and 10,526.30 is: 15,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,838.30 : 34,256.96 = 10,526.30 : x
  2. Step 2: Convert to fraction form
    22,838.30/34,256.96 = 10,526.30/x
  3. Step 3: Cross multiply
    22,838.30x = 34,256.96 × 10,526.30
  4. Step 4: Simplify right side
    22,838.30x = 360,599,038.05
  5. Step 5: Solve for x
    x = 360,599,038.05/22,838.30
  6. Step 6: Final answer
    x = 15,789.22

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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.