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Finding the Fourth Proportional to 14,799.16, 20,424.80 and 9,422.14

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Solution

The fourth proportional to 14,799.16, 20,424.80 and 9,422.14 is: 13,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,799.16 : 20,424.80 = 9,422.14 : x
  2. Step 2: Convert to fraction form
    14,799.16/20,424.80 = 9,422.14/x
  3. Step 3: Cross multiply
    14,799.16x = 20,424.80 × 9,422.14
  4. Step 4: Simplify right side
    14,799.16x = 192,445,325.07
  5. Step 5: Solve for x
    x = 192,445,325.07/14,799.16
  6. Step 6: Final answer
    x = 13,003.80

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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.