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Finding the Fourth Proportional to 13,343.10, 18,412.98 and 7,678.72

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Solution

The fourth proportional to 13,343.10, 18,412.98 and 7,678.72 is: 10,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.10 : 18,412.98 = 7,678.72 : x
  2. Step 2: Convert to fraction form
    13,343.10/18,412.98 = 7,678.72/x
  3. Step 3: Cross multiply
    13,343.10x = 18,412.98 × 7,678.72
  4. Step 4: Simplify right side
    13,343.10x = 141,388,117.79
  5. Step 5: Solve for x
    x = 141,388,117.79/13,343.10
  6. Step 6: Final answer
    x = 10,596.35

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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.