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Finding the Fourth Proportional to 14,047.76, 19,386.02 and 7,760.52

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Solution

The fourth proportional to 14,047.76, 19,386.02 and 7,760.52 is: 10,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,047.76 : 19,386.02 = 7,760.52 : x
  2. Step 2: Convert to fraction form
    14,047.76/19,386.02 = 7,760.52/x
  3. Step 3: Cross multiply
    14,047.76x = 19,386.02 × 7,760.52
  4. Step 4: Simplify right side
    14,047.76x = 150,445,595.93
  5. Step 5: Solve for x
    x = 150,445,595.93/14,047.76
  6. Step 6: Final answer
    x = 10,709.58

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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.