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Finding the Fourth Proportional to 14,278.56, 19,703.64 and 7,989.72

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Solution

The fourth proportional to 14,278.56, 19,703.64 and 7,989.72 is: 11,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.56 : 19,703.64 = 7,989.72 : x
  2. Step 2: Convert to fraction form
    14,278.56/19,703.64 = 7,989.72/x
  3. Step 3: Cross multiply
    14,278.56x = 19,703.64 × 7,989.72
  4. Step 4: Simplify right side
    14,278.56x = 157,426,566.58
  5. Step 5: Solve for x
    x = 157,426,566.58/14,278.56
  6. Step 6: Final answer
    x = 11,025.38

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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.