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Finding the Fourth Proportional to 13,368, 20,053.44 and 5,975.76

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Solution

The fourth proportional to 13,368, 20,053.44 and 5,975.76 is: 8,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368 : 20,053.44 = 5,975.76 : x
  2. Step 2: Convert to fraction form
    13,368/20,053.44 = 5,975.76/x
  3. Step 3: Cross multiply
    13,368x = 20,053.44 × 5,975.76
  4. Step 4: Simplify right side
    13,368x = 119,834,544.61
  5. Step 5: Solve for x
    x = 119,834,544.61/13,368
  6. Step 6: Final answer
    x = 8,964.28

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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.