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Finding the Fourth Proportional to 25,596.16, 35,324.80 and 14,419.20

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Solution

The fourth proportional to 25,596.16, 35,324.80 and 14,419.20 is: 19,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.16 : 35,324.80 = 14,419.20 : x
  2. Step 2: Convert to fraction form
    25,596.16/35,324.80 = 14,419.20/x
  3. Step 3: Cross multiply
    25,596.16x = 35,324.80 × 14,419.20
  4. Step 4: Simplify right side
    25,596.16x = 509,355,356.16
  5. Step 5: Solve for x
    x = 509,355,356.16/25,596.16
  6. Step 6: Final answer
    x = 19,899.68

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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.