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Finding the Fourth Proportional to 14,130.32, 19,499.94 and 7,756.83

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Solution

The fourth proportional to 14,130.32, 19,499.94 and 7,756.83 is: 10,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.32 : 19,499.94 = 7,756.83 : x
  2. Step 2: Convert to fraction form
    14,130.32/19,499.94 = 7,756.83/x
  3. Step 3: Cross multiply
    14,130.32x = 19,499.94 × 7,756.83
  4. Step 4: Simplify right side
    14,130.32x = 151,257,719.59
  5. Step 5: Solve for x
    x = 151,257,719.59/14,130.32
  6. Step 6: Final answer
    x = 10,704.48

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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.