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Finding the Fourth Proportional to 13,460.42, 18,575.19 and 7,492.08

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Solution

The fourth proportional to 13,460.42, 18,575.19 and 7,492.08 is: 10,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.42 : 18,575.19 = 7,492.08 : x
  2. Step 2: Convert to fraction form
    13,460.42/18,575.19 = 7,492.08/x
  3. Step 3: Cross multiply
    13,460.42x = 18,575.19 × 7,492.08
  4. Step 4: Simplify right side
    13,460.42x = 139,166,809.50
  5. Step 5: Solve for x
    x = 139,166,809.50/13,460.42
  6. Step 6: Final answer
    x = 10,338.96

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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.