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Finding the Fourth Proportional to 14,008, 19,298.16 and 9,751.72

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Solution

The fourth proportional to 14,008, 19,298.16 and 9,751.72 is: 13,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008 : 19,298.16 = 9,751.72 : x
  2. Step 2: Convert to fraction form
    14,008/19,298.16 = 9,751.72/x
  3. Step 3: Cross multiply
    14,008x = 19,298.16 × 9,751.72
  4. Step 4: Simplify right side
    14,008x = 188,190,252.84
  5. Step 5: Solve for x
    x = 188,190,252.84/14,008
  6. Step 6: Final answer
    x = 13,434.48

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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.