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Finding the Fourth Proportional to 24,448.40, 36,673.80 and 12,784.40

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Solution

The fourth proportional to 24,448.40, 36,673.80 and 12,784.40 is: 19,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.40 : 36,673.80 = 12,784.40 : x
  2. Step 2: Convert to fraction form
    24,448.40/36,673.80 = 12,784.40/x
  3. Step 3: Cross multiply
    24,448.40x = 36,673.80 × 12,784.40
  4. Step 4: Simplify right side
    24,448.40x = 468,852,528.72
  5. Step 5: Solve for x
    x = 468,852,528.72/24,448.40
  6. Step 6: Final answer
    x = 19,177.23

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1.5x scale

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.