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Finding the Fourth Proportional to 11,745.90, 17,598.32 and 9,784.14

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Solution

The fourth proportional to 11,745.90, 17,598.32 and 9,784.14 is: 14,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.90 : 17,598.32 = 9,784.14 : x
  2. Step 2: Convert to fraction form
    11,745.90/17,598.32 = 9,784.14/x
  3. Step 3: Cross multiply
    11,745.90x = 17,598.32 × 9,784.14
  4. Step 4: Simplify right side
    11,745.90x = 172,184,426.64
  5. Step 5: Solve for x
    x = 172,184,426.64/11,745.90
  6. Step 6: Final answer
    x = 14,659.11

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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.