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Finding the Fourth Proportional to 23,484.32, 35,232 and 10,337.76

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Solution

The fourth proportional to 23,484.32, 35,232 and 10,337.76 is: 15,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,484.32 : 35,232 = 10,337.76 : x
  2. Step 2: Convert to fraction form
    23,484.32/35,232 = 10,337.76/x
  3. Step 3: Cross multiply
    23,484.32x = 35,232 × 10,337.76
  4. Step 4: Simplify right side
    23,484.32x = 364,219,960.32
  5. Step 5: Solve for x
    x = 364,219,960.32/23,484.32
  6. Step 6: Final answer
    x = 15,509.07

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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.