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Finding the Fourth Proportional to 22,261.84, 33,402.02 and 9,775.40

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Solution

The fourth proportional to 22,261.84, 33,402.02 and 9,775.40 is: 14,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.84 : 33,402.02 = 9,775.40 : x
  2. Step 2: Convert to fraction form
    22,261.84/33,402.02 = 9,775.40/x
  3. Step 3: Cross multiply
    22,261.84x = 33,402.02 × 9,775.40
  4. Step 4: Simplify right side
    22,261.84x = 326,518,106.31
  5. Step 5: Solve for x
    x = 326,518,106.31/22,261.84
  6. Step 6: Final answer
    x = 14,667.17

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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.