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Finding the Fourth Proportional to 13,476.66, 18,596.66 and 7,509.74

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Solution

The fourth proportional to 13,476.66, 18,596.66 and 7,509.74 is: 10,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.66 : 18,596.66 = 7,509.74 : x
  2. Step 2: Convert to fraction form
    13,476.66/18,596.66 = 7,509.74/x
  3. Step 3: Cross multiply
    13,476.66x = 18,596.66 × 7,509.74
  4. Step 4: Simplify right side
    13,476.66x = 139,656,081.47
  5. Step 5: Solve for x
    x = 139,656,081.47/13,476.66
  6. Step 6: Final answer
    x = 10,362.81

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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.