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Finding the Fourth Proportional to 14,543.64, 20,061 and 10,014.12

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Solution

The fourth proportional to 14,543.64, 20,061 and 10,014.12 is: 13,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.64 : 20,061 = 10,014.12 : x
  2. Step 2: Convert to fraction form
    14,543.64/20,061 = 10,014.12/x
  3. Step 3: Cross multiply
    14,543.64x = 20,061 × 10,014.12
  4. Step 4: Simplify right side
    14,543.64x = 200,893,261.32
  5. Step 5: Solve for x
    x = 200,893,261.32/14,543.64
  6. Step 6: Final answer
    x = 13,813.13

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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.