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Finding the Fourth Proportional to 14,701.16, 22,051.76 and 8,141.20

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Solution

The fourth proportional to 14,701.16, 22,051.76 and 8,141.20 is: 12,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.16 : 22,051.76 = 8,141.20 : x
  2. Step 2: Convert to fraction form
    14,701.16/22,051.76 = 8,141.20/x
  3. Step 3: Cross multiply
    14,701.16x = 22,051.76 × 8,141.20
  4. Step 4: Simplify right side
    14,701.16x = 179,527,788.51
  5. Step 5: Solve for x
    x = 179,527,788.51/14,701.16
  6. Step 6: Final answer
    x = 12,211.81

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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.