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Finding the Fourth Proportional to 13,402.32, 18,492.54 and 8,097.15

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Solution

The fourth proportional to 13,402.32, 18,492.54 and 8,097.15 is: 11,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.32 : 18,492.54 = 8,097.15 : x
  2. Step 2: Convert to fraction form
    13,402.32/18,492.54 = 8,097.15/x
  3. Step 3: Cross multiply
    13,402.32x = 18,492.54 × 8,097.15
  4. Step 4: Simplify right side
    13,402.32x = 149,736,870.26
  5. Step 5: Solve for x
    x = 149,736,870.26/13,402.32
  6. Step 6: Final answer
    x = 11,172.46

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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.