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Finding the Fourth Proportional to 13,464.81, 18,580.74 and 7,497

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Solution

The fourth proportional to 13,464.81, 18,580.74 and 7,497 is: 10,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.81 : 18,580.74 = 7,497 : x
  2. Step 2: Convert to fraction form
    13,464.81/18,580.74 = 7,497/x
  3. Step 3: Cross multiply
    13,464.81x = 18,580.74 × 7,497
  4. Step 4: Simplify right side
    13,464.81x = 139,299,807.78
  5. Step 5: Solve for x
    x = 139,299,807.78/13,464.81
  6. Step 6: Final answer
    x = 10,345.47

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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.