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Finding the Fourth Proportional to 14,078.79, 19,420.95 and 9,043.75

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Solution

The fourth proportional to 14,078.79, 19,420.95 and 9,043.75 is: 12,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.79 : 19,420.95 = 9,043.75 : x
  2. Step 2: Convert to fraction form
    14,078.79/19,420.95 = 9,043.75/x
  3. Step 3: Cross multiply
    14,078.79x = 19,420.95 × 9,043.75
  4. Step 4: Simplify right side
    14,078.79x = 175,638,278.50
  5. Step 5: Solve for x
    x = 175,638,278.50/14,078.79
  6. Step 6: Final answer
    x = 12,475.38

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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.