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Finding the Fourth Proportional to 14,857.82, 20,506.84 and 8,569.34

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Solution

The fourth proportional to 14,857.82, 20,506.84 and 8,569.34 is: 11,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.82 : 20,506.84 = 8,569.34 : x
  2. Step 2: Convert to fraction form
    14,857.82/20,506.84 = 8,569.34/x
  3. Step 3: Cross multiply
    14,857.82x = 20,506.84 × 8,569.34
  4. Step 4: Simplify right side
    14,857.82x = 175,730,084.29
  5. Step 5: Solve for x
    x = 175,730,084.29/14,857.82
  6. Step 6: Final answer
    x = 11,827.45

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1.5x scale

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.