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Finding the Fourth Proportional to 16,478.48, 22,740.08 and 9,405.02

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Solution

The fourth proportional to 16,478.48, 22,740.08 and 9,405.02 is: 12,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.48 : 22,740.08 = 9,405.02 : x
  2. Step 2: Convert to fraction form
    16,478.48/22,740.08 = 9,405.02/x
  3. Step 3: Cross multiply
    16,478.48x = 22,740.08 × 9,405.02
  4. Step 4: Simplify right side
    16,478.48x = 213,870,907.20
  5. Step 5: Solve for x
    x = 213,870,907.20/16,478.48
  6. Step 6: Final answer
    x = 12,978.80

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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.