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Finding the Fourth Proportional to 13,677.16, 20,492.16 and 10,681.24

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Solution

The fourth proportional to 13,677.16, 20,492.16 and 10,681.24 is: 16,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.16 : 20,492.16 = 10,681.24 : x
  2. Step 2: Convert to fraction form
    13,677.16/20,492.16 = 10,681.24/x
  3. Step 3: Cross multiply
    13,677.16x = 20,492.16 × 10,681.24
  4. Step 4: Simplify right side
    13,677.16x = 218,881,679.08
  5. Step 5: Solve for x
    x = 218,881,679.08/13,677.16
  6. Step 6: Final answer
    x = 16,003.45

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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.