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Finding the Fourth Proportional to 16,838.17, 23,246.63 and 14,970

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Solution

The fourth proportional to 16,838.17, 23,246.63 and 14,970 is: 20,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.17 : 23,246.63 = 14,970 : x
  2. Step 2: Convert to fraction form
    16,838.17/23,246.63 = 14,970/x
  3. Step 3: Cross multiply
    16,838.17x = 23,246.63 × 14,970
  4. Step 4: Simplify right side
    16,838.17x = 348,002,051.10
  5. Step 5: Solve for x
    x = 348,002,051.10/16,838.17
  6. Step 6: Final answer
    x = 20,667.45

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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.