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Finding the Fourth Proportional to 21,416.64, 32,124.48 and 5,834.40

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Solution

The fourth proportional to 21,416.64, 32,124.48 and 5,834.40 is: 8,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.64 : 32,124.48 = 5,834.40 : x
  2. Step 2: Convert to fraction form
    21,416.64/32,124.48 = 5,834.40/x
  3. Step 3: Cross multiply
    21,416.64x = 32,124.48 × 5,834.40
  4. Step 4: Simplify right side
    21,416.64x = 187,427,066.11
  5. Step 5: Solve for x
    x = 187,427,066.11/21,416.64
  6. Step 6: Final answer
    x = 8,751.47

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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.