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Finding the Fourth Proportional to 22,801.84, 31,457.88 and 13,845.96

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Solution

The fourth proportional to 22,801.84, 31,457.88 and 13,845.96 is: 19,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.84 : 31,457.88 = 13,845.96 : x
  2. Step 2: Convert to fraction form
    22,801.84/31,457.88 = 13,845.96/x
  3. Step 3: Cross multiply
    22,801.84x = 31,457.88 × 13,845.96
  4. Step 4: Simplify right side
    22,801.84x = 435,564,548.16
  5. Step 5: Solve for x
    x = 435,564,548.16/22,801.84
  6. Step 6: Final answer
    x = 19,102.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.