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Finding the Fourth Proportional to 14,035.77, 19,368.86 and 7,748.01

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Solution

The fourth proportional to 14,035.77, 19,368.86 and 7,748.01 is: 10,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.77 : 19,368.86 = 7,748.01 : x
  2. Step 2: Convert to fraction form
    14,035.77/19,368.86 = 7,748.01/x
  3. Step 3: Cross multiply
    14,035.77x = 19,368.86 × 7,748.01
  4. Step 4: Simplify right side
    14,035.77x = 150,070,082.23
  5. Step 5: Solve for x
    x = 150,070,082.23/14,035.77
  6. Step 6: Final answer
    x = 10,691.97

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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.