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Finding the Fourth Proportional to 13,048.32, 18,008.64 and 7,461.12

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Solution

The fourth proportional to 13,048.32, 18,008.64 and 7,461.12 is: 10,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.32 : 18,008.64 = 7,461.12 : x
  2. Step 2: Convert to fraction form
    13,048.32/18,008.64 = 7,461.12/x
  3. Step 3: Cross multiply
    13,048.32x = 18,008.64 × 7,461.12
  4. Step 4: Simplify right side
    13,048.32x = 134,364,624.08
  5. Step 5: Solve for x
    x = 134,364,624.08/13,048.32
  6. Step 6: Final answer
    x = 10,297.47

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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.