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Finding the Fourth Proportional to 14,113.69, 19,477.15 and 7,739.87

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Solution

The fourth proportional to 14,113.69, 19,477.15 and 7,739.87 is: 10,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.69 : 19,477.15 = 7,739.87 : x
  2. Step 2: Convert to fraction form
    14,113.69/19,477.15 = 7,739.87/x
  3. Step 3: Cross multiply
    14,113.69x = 19,477.15 × 7,739.87
  4. Step 4: Simplify right side
    14,113.69x = 150,750,677.01
  5. Step 5: Solve for x
    x = 150,750,677.01/14,113.69
  6. Step 6: Final answer
    x = 10,681.17

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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.