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Finding the Fourth Proportional to 14,122.34, 19,488.17 and 7,748.77

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Solution

The fourth proportional to 14,122.34, 19,488.17 and 7,748.77 is: 10,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.34 : 19,488.17 = 7,748.77 : x
  2. Step 2: Convert to fraction form
    14,122.34/19,488.17 = 7,748.77/x
  3. Step 3: Cross multiply
    14,122.34x = 19,488.17 × 7,748.77
  4. Step 4: Simplify right side
    14,122.34x = 151,009,393.13
  5. Step 5: Solve for x
    x = 151,009,393.13/14,122.34
  6. Step 6: Final answer
    x = 10,692.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.