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Finding the Fourth Proportional to 16,973.64, 23,423.40 and 9,420

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Solution

The fourth proportional to 16,973.64, 23,423.40 and 9,420 is: 12,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,973.64 : 23,423.40 = 9,420 : x
  2. Step 2: Convert to fraction form
    16,973.64/23,423.40 = 9,420/x
  3. Step 3: Cross multiply
    16,973.64x = 23,423.40 × 9,420
  4. Step 4: Simplify right side
    16,973.64x = 220,648,428
  5. Step 5: Solve for x
    x = 220,648,428/16,973.64
  6. Step 6: Final answer
    x = 12,999.48

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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.