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Finding the Fourth Proportional to 13,476.78, 18,597.80 and 7,509.11

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Solution

The fourth proportional to 13,476.78, 18,597.80 and 7,509.11 is: 10,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.78 : 18,597.80 = 7,509.11 : x
  2. Step 2: Convert to fraction form
    13,476.78/18,597.80 = 7,509.11/x
  3. Step 3: Cross multiply
    13,476.78x = 18,597.80 × 7,509.11
  4. Step 4: Simplify right side
    13,476.78x = 139,652,851.74
  5. Step 5: Solve for x
    x = 139,652,851.74/13,476.78
  6. Step 6: Final answer
    x = 10,362.48

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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.