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Finding the Fourth Proportional to 14,322.51, 19,765.28 and 7,949.52

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Solution

The fourth proportional to 14,322.51, 19,765.28 and 7,949.52 is: 10,970.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.51 : 19,765.28 = 7,949.52 : x
  2. Step 2: Convert to fraction form
    14,322.51/19,765.28 = 7,949.52/x
  3. Step 3: Cross multiply
    14,322.51x = 19,765.28 × 7,949.52
  4. Step 4: Simplify right side
    14,322.51x = 157,124,452.95
  5. Step 5: Solve for x
    x = 157,124,452.95/14,322.51
  6. Step 6: Final answer
    x = 10,970.45

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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.