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Finding the Fourth Proportional to 23,643.76, 35,479.16 and 11,957.84

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Solution

The fourth proportional to 23,643.76, 35,479.16 and 11,957.84 is: 17,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.76 : 35,479.16 = 11,957.84 : x
  2. Step 2: Convert to fraction form
    23,643.76/35,479.16 = 11,957.84/x
  3. Step 3: Cross multiply
    23,643.76x = 35,479.16 × 11,957.84
  4. Step 4: Simplify right side
    23,643.76x = 424,254,118.61
  5. Step 5: Solve for x
    x = 424,254,118.61/23,643.76
  6. Step 6: Final answer
    x = 17,943.60

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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.