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Finding the Fourth Proportional to 23,566, 32,521.84 and 12,956.40

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Solution

The fourth proportional to 23,566, 32,521.84 and 12,956.40 is: 17,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566 : 32,521.84 = 12,956.40 : x
  2. Step 2: Convert to fraction form
    23,566/32,521.84 = 12,956.40/x
  3. Step 3: Cross multiply
    23,566x = 32,521.84 × 12,956.40
  4. Step 4: Simplify right side
    23,566x = 421,365,967.78
  5. Step 5: Solve for x
    x = 421,365,967.78/23,566
  6. Step 6: Final answer
    x = 17,880.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.