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Finding the Fourth Proportional to 14,713.10, 22,069.65 and 9,464.30

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Solution

The fourth proportional to 14,713.10, 22,069.65 and 9,464.30 is: 14,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.10 : 22,069.65 = 9,464.30 : x
  2. Step 2: Convert to fraction form
    14,713.10/22,069.65 = 9,464.30/x
  3. Step 3: Cross multiply
    14,713.10x = 22,069.65 × 9,464.30
  4. Step 4: Simplify right side
    14,713.10x = 208,873,788.50
  5. Step 5: Solve for x
    x = 208,873,788.50/14,713.10
  6. Step 6: Final answer
    x = 14,196.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.