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Finding the Fourth Proportional to 17,620, 24,315.60 and 10,547.44

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Solution

The fourth proportional to 17,620, 24,315.60 and 10,547.44 is: 14,555.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,620 : 24,315.60 = 10,547.44 : x
  2. Step 2: Convert to fraction form
    17,620/24,315.60 = 10,547.44/x
  3. Step 3: Cross multiply
    17,620x = 24,315.60 × 10,547.44
  4. Step 4: Simplify right side
    17,620x = 256,467,332.06
  5. Step 5: Solve for x
    x = 256,467,332.06/17,620
  6. Step 6: Final answer
    x = 14,555.47

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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.