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Finding the Fourth Proportional to 14,827.16, 20,463.37 and 9,726.99

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Solution

The fourth proportional to 14,827.16, 20,463.37 and 9,726.99 is: 13,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.16 : 20,463.37 = 9,726.99 : x
  2. Step 2: Convert to fraction form
    14,827.16/20,463.37 = 9,726.99/x
  3. Step 3: Cross multiply
    14,827.16x = 20,463.37 × 9,726.99
  4. Step 4: Simplify right side
    14,827.16x = 199,046,894.30
  5. Step 5: Solve for x
    x = 199,046,894.30/14,827.16
  6. Step 6: Final answer
    x = 13,424.48

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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.