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Finding the Fourth Proportional to 23,732, 35,600.88 and 7,316

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Solution

The fourth proportional to 23,732, 35,600.88 and 7,316 is: 10,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,732 : 35,600.88 = 7,316 : x
  2. Step 2: Convert to fraction form
    23,732/35,600.88 = 7,316/x
  3. Step 3: Cross multiply
    23,732x = 35,600.88 × 7,316
  4. Step 4: Simplify right side
    23,732x = 260,456,038.08
  5. Step 5: Solve for x
    x = 260,456,038.08/23,732
  6. Step 6: Final answer
    x = 10,974.89

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Why These Related Problems?

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