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Finding the Fourth Proportional to 16,972.71, 23,423.45 and 9,802.93

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Solution

The fourth proportional to 16,972.71, 23,423.45 and 9,802.93 is: 13,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.71 : 23,423.45 = 9,802.93 : x
  2. Step 2: Convert to fraction form
    16,972.71/23,423.45 = 9,802.93/x
  3. Step 3: Cross multiply
    16,972.71x = 23,423.45 × 9,802.93
  4. Step 4: Simplify right side
    16,972.71x = 229,618,440.71
  5. Step 5: Solve for x
    x = 229,618,440.71/16,972.71
  6. Step 6: Final answer
    x = 13,528.68

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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.