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Finding the Fourth Proportional to 13,787, 19,026.15 and 7,499.42

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Solution

The fourth proportional to 13,787, 19,026.15 and 7,499.42 is: 10,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787 : 19,026.15 = 7,499.42 : x
  2. Step 2: Convert to fraction form
    13,787/19,026.15 = 7,499.42/x
  3. Step 3: Cross multiply
    13,787x = 19,026.15 × 7,499.42
  4. Step 4: Simplify right side
    13,787x = 142,685,089.83
  5. Step 5: Solve for x
    x = 142,685,089.83/13,787
  6. Step 6: Final answer
    x = 10,349.25

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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.