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Finding the Fourth Proportional to 12,368.48, 18,537.20 and 8,840.16

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Solution

The fourth proportional to 12,368.48, 18,537.20 and 8,840.16 is: 13,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.48 : 18,537.20 = 8,840.16 : x
  2. Step 2: Convert to fraction form
    12,368.48/18,537.20 = 8,840.16/x
  3. Step 3: Cross multiply
    12,368.48x = 18,537.20 × 8,840.16
  4. Step 4: Simplify right side
    12,368.48x = 163,871,813.95
  5. Step 5: Solve for x
    x = 163,871,813.95/12,368.48
  6. Step 6: Final answer
    x = 13,249.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.