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Finding the Fourth Proportional to 17,903.34, 24,707.36 and 9,946.31

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Solution

The fourth proportional to 17,903.34, 24,707.36 and 9,946.31 is: 13,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,903.34 : 24,707.36 = 9,946.31 : x
  2. Step 2: Convert to fraction form
    17,903.34/24,707.36 = 9,946.31/x
  3. Step 3: Cross multiply
    17,903.34x = 24,707.36 × 9,946.31
  4. Step 4: Simplify right side
    17,903.34x = 245,746,963.17
  5. Step 5: Solve for x
    x = 245,746,963.17/17,903.34
  6. Step 6: Final answer
    x = 13,726.32

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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.