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Finding the Fourth Proportional to 13,624.93, 18,802.02 and 7,656.85

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Solution

The fourth proportional to 13,624.93, 18,802.02 and 7,656.85 is: 10,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.93 : 18,802.02 = 7,656.85 : x
  2. Step 2: Convert to fraction form
    13,624.93/18,802.02 = 7,656.85/x
  3. Step 3: Cross multiply
    13,624.93x = 18,802.02 × 7,656.85
  4. Step 4: Simplify right side
    13,624.93x = 143,964,246.84
  5. Step 5: Solve for x
    x = 143,964,246.84/13,624.93
  6. Step 6: Final answer
    x = 10,566.24

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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.