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Finding the Fourth Proportional to 16,909.65, 23,335.16 and 9,457.65

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Solution

The fourth proportional to 16,909.65, 23,335.16 and 9,457.65 is: 13,051.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,909.65 : 23,335.16 = 9,457.65 : x
  2. Step 2: Convert to fraction form
    16,909.65/23,335.16 = 9,457.65/x
  3. Step 3: Cross multiply
    16,909.65x = 23,335.16 × 9,457.65
  4. Step 4: Simplify right side
    16,909.65x = 220,695,728.69
  5. Step 5: Solve for x
    x = 220,695,728.69/16,909.65
  6. Step 6: Final answer
    x = 13,051.47

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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.