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Finding the Fourth Proportional to 16,457.13, 22,710.84 and 9,005.13

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Solution

The fourth proportional to 16,457.13, 22,710.84 and 9,005.13 is: 12,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.13 : 22,710.84 = 9,005.13 : x
  2. Step 2: Convert to fraction form
    16,457.13/22,710.84 = 9,005.13/x
  3. Step 3: Cross multiply
    16,457.13x = 22,710.84 × 9,005.13
  4. Step 4: Simplify right side
    16,457.13x = 204,514,066.61
  5. Step 5: Solve for x
    x = 204,514,066.61/16,457.13
  6. Step 6: Final answer
    x = 12,427.08

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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.