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Finding the Fourth Proportional to 13,602.17, 20,386.84 and 7,024.76

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Solution

The fourth proportional to 13,602.17, 20,386.84 and 7,024.76 is: 10,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.17 : 20,386.84 = 7,024.76 : x
  2. Step 2: Convert to fraction form
    13,602.17/20,386.84 = 7,024.76/x
  3. Step 3: Cross multiply
    13,602.17x = 20,386.84 × 7,024.76
  4. Step 4: Simplify right side
    13,602.17x = 143,212,658.16
  5. Step 5: Solve for x
    x = 143,212,658.16/13,602.17
  6. Step 6: Final answer
    x = 10,528.66

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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.