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Finding the Fourth Proportional to 14,030.38, 19,362.33 and 7,743.16

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Solution

The fourth proportional to 14,030.38, 19,362.33 and 7,743.16 is: 10,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.38 : 19,362.33 = 7,743.16 : x
  2. Step 2: Convert to fraction form
    14,030.38/19,362.33 = 7,743.16/x
  3. Step 3: Cross multiply
    14,030.38x = 19,362.33 × 7,743.16
  4. Step 4: Simplify right side
    14,030.38x = 149,925,483.64
  5. Step 5: Solve for x
    x = 149,925,483.64/14,030.38
  6. Step 6: Final answer
    x = 10,685.78

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Why These Related Problems?

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