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Finding the Fourth Proportional to 14,543.76, 20,068.77 and 8,493.06

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Solution

The fourth proportional to 14,543.76, 20,068.77 and 8,493.06 is: 11,719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.76 : 20,068.77 = 8,493.06 : x
  2. Step 2: Convert to fraction form
    14,543.76/20,068.77 = 8,493.06/x
  3. Step 3: Cross multiply
    14,543.76x = 20,068.77 × 8,493.06
  4. Step 4: Simplify right side
    14,543.76x = 170,445,267.74
  5. Step 5: Solve for x
    x = 170,445,267.74/14,543.76
  6. Step 6: Final answer
    x = 11,719.48

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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.