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Finding the Fourth Proportional to 14,473.84, 21,682.70 and 9,528.58

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Solution

The fourth proportional to 14,473.84, 21,682.70 and 9,528.58 is: 14,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.84 : 21,682.70 = 9,528.58 : x
  2. Step 2: Convert to fraction form
    14,473.84/21,682.70 = 9,528.58/x
  3. Step 3: Cross multiply
    14,473.84x = 21,682.70 × 9,528.58
  4. Step 4: Simplify right side
    14,473.84x = 206,605,341.57
  5. Step 5: Solve for x
    x = 206,605,341.57/14,473.84
  6. Step 6: Final answer
    x = 14,274.40

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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.