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Finding the Fourth Proportional to 13,078.08, 18,047.70 and 7,703.64

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Solution

The fourth proportional to 13,078.08, 18,047.70 and 7,703.64 is: 10,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.08 : 18,047.70 = 7,703.64 : x
  2. Step 2: Convert to fraction form
    13,078.08/18,047.70 = 7,703.64/x
  3. Step 3: Cross multiply
    13,078.08x = 18,047.70 × 7,703.64
  4. Step 4: Simplify right side
    13,078.08x = 139,032,983.63
  5. Step 5: Solve for x
    x = 139,032,983.63/13,078.08
  6. Step 6: Final answer
    x = 10,630.99

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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.