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Finding the Fourth Proportional to 13,013.78, 19,525.19 and 9,459.23

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Solution

The fourth proportional to 13,013.78, 19,525.19 and 9,459.23 is: 14,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.78 : 19,525.19 = 9,459.23 : x
  2. Step 2: Convert to fraction form
    13,013.78/19,525.19 = 9,459.23/x
  3. Step 3: Cross multiply
    13,013.78x = 19,525.19 × 9,459.23
  4. Step 4: Simplify right side
    13,013.78x = 184,693,118.08
  5. Step 5: Solve for x
    x = 184,693,118.08/13,013.78
  6. Step 6: Final answer
    x = 14,192.12

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