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Finding the Fourth Proportional to 13,624.84, 18,803.70 and 7,656.52

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Solution

The fourth proportional to 13,624.84, 18,803.70 and 7,656.52 is: 10,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.84 : 18,803.70 = 7,656.52 : x
  2. Step 2: Convert to fraction form
    13,624.84/18,803.70 = 7,656.52/x
  3. Step 3: Cross multiply
    13,624.84x = 18,803.70 × 7,656.52
  4. Step 4: Simplify right side
    13,624.84x = 143,970,905.12
  5. Step 5: Solve for x
    x = 143,970,905.12/13,624.84
  6. Step 6: Final answer
    x = 10,566.80

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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.