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Finding the Fourth Proportional to 14,823.51, 20,456.93 and 8,449.99

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Solution

The fourth proportional to 14,823.51, 20,456.93 and 8,449.99 is: 11,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.51 : 20,456.93 = 8,449.99 : x
  2. Step 2: Convert to fraction form
    14,823.51/20,456.93 = 8,449.99/x
  3. Step 3: Cross multiply
    14,823.51x = 20,456.93 × 8,449.99
  4. Step 4: Simplify right side
    14,823.51x = 172,860,730.52
  5. Step 5: Solve for x
    x = 172,860,730.52/14,823.51
  6. Step 6: Final answer
    x = 11,661.26

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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.