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Finding the Fourth Proportional to 14,678.21, 20,259.54 and 9,014.31

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Solution

The fourth proportional to 14,678.21, 20,259.54 and 9,014.31 is: 12,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.21 : 20,259.54 = 9,014.31 : x
  2. Step 2: Convert to fraction form
    14,678.21/20,259.54 = 9,014.31/x
  3. Step 3: Cross multiply
    14,678.21x = 20,259.54 × 9,014.31
  4. Step 4: Simplify right side
    14,678.21x = 182,625,788.07
  5. Step 5: Solve for x
    x = 182,625,788.07/14,678.21
  6. Step 6: Final answer
    x = 12,441.96

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1.5x scale

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.