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Finding the Fourth Proportional to 16,875.72, 23,288.73 and 9,802.14

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Solution

The fourth proportional to 16,875.72, 23,288.73 and 9,802.14 is: 13,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875.72 : 23,288.73 = 9,802.14 : x
  2. Step 2: Convert to fraction form
    16,875.72/23,288.73 = 9,802.14/x
  3. Step 3: Cross multiply
    16,875.72x = 23,288.73 × 9,802.14
  4. Step 4: Simplify right side
    16,875.72x = 228,279,391.88
  5. Step 5: Solve for x
    x = 228,279,391.88/16,875.72
  6. Step 6: Final answer
    x = 13,527.09

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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.