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Finding the Fourth Proportional to 17,302.36, 23,875.34 and 9,748.50

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Solution

The fourth proportional to 17,302.36, 23,875.34 and 9,748.50 is: 13,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.36 : 23,875.34 = 9,748.50 : x
  2. Step 2: Convert to fraction form
    17,302.36/23,875.34 = 9,748.50/x
  3. Step 3: Cross multiply
    17,302.36x = 23,875.34 × 9,748.50
  4. Step 4: Simplify right side
    17,302.36x = 232,748,751.99
  5. Step 5: Solve for x
    x = 232,748,751.99/17,302.36
  6. Step 6: Final answer
    x = 13,451.85

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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.