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Finding the Fourth Proportional to 14,885.63, 20,531.34 and 9,854.16

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Solution

The fourth proportional to 14,885.63, 20,531.34 and 9,854.16 is: 13,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.63 : 20,531.34 = 9,854.16 : x
  2. Step 2: Convert to fraction form
    14,885.63/20,531.34 = 9,854.16/x
  3. Step 3: Cross multiply
    14,885.63x = 20,531.34 × 9,854.16
  4. Step 4: Simplify right side
    14,885.63x = 202,319,109.37
  5. Step 5: Solve for x
    x = 202,319,109.37/14,885.63
  6. Step 6: Final answer
    x = 13,591.57

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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.