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Finding the Fourth Proportional to 22,457.84, 33,698.12 and 14,966.51

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Solution

The fourth proportional to 22,457.84, 33,698.12 and 14,966.51 is: 22,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.84 : 33,698.12 = 14,966.51 : x
  2. Step 2: Convert to fraction form
    22,457.84/33,698.12 = 14,966.51/x
  3. Step 3: Cross multiply
    22,457.84x = 33,698.12 × 14,966.51
  4. Step 4: Simplify right side
    22,457.84x = 504,343,006.64
  5. Step 5: Solve for x
    x = 504,343,006.64/22,457.84
  6. Step 6: Final answer
    x = 22,457.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.