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Finding the Fourth Proportional to 13,624.38, 18,801.47 and 7,657.05

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Solution

The fourth proportional to 13,624.38, 18,801.47 and 7,657.05 is: 10,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.38 : 18,801.47 = 7,657.05 : x
  2. Step 2: Convert to fraction form
    13,624.38/18,801.47 = 7,657.05/x
  3. Step 3: Cross multiply
    13,624.38x = 18,801.47 × 7,657.05
  4. Step 4: Simplify right side
    13,624.38x = 143,963,885.51
  5. Step 5: Solve for x
    x = 143,963,885.51/13,624.38
  6. Step 6: Final answer
    x = 10,566.64

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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.