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Finding the Fourth Proportional to 21,863.66, 32,802.33 and 7,823.35

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Solution

The fourth proportional to 21,863.66, 32,802.33 and 7,823.35 is: 11,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,863.66 : 32,802.33 = 7,823.35 : x
  2. Step 2: Convert to fraction form
    21,863.66/32,802.33 = 7,823.35/x
  3. Step 3: Cross multiply
    21,863.66x = 32,802.33 × 7,823.35
  4. Step 4: Simplify right side
    21,863.66x = 256,624,178.75
  5. Step 5: Solve for x
    x = 256,624,178.75/21,863.66
  6. Step 6: Final answer
    x = 11,737.48

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1.5x scale

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.