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Finding the Fourth Proportional to 14,346.50, 19,804.91 and 9,574.38

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Solution

The fourth proportional to 14,346.50, 19,804.91 and 9,574.38 is: 13,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346.50 : 19,804.91 = 9,574.38 : x
  2. Step 2: Convert to fraction form
    14,346.50/19,804.91 = 9,574.38/x
  3. Step 3: Cross multiply
    14,346.50x = 19,804.91 × 9,574.38
  4. Step 4: Simplify right side
    14,346.50x = 189,619,686.33
  5. Step 5: Solve for x
    x = 189,619,686.33/14,346.50
  6. Step 6: Final answer
    x = 13,217.14

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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.