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Finding the Fourth Proportional to 16,929.76, 23,363.06 and 9,477.76

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Solution

The fourth proportional to 16,929.76, 23,363.06 and 9,477.76 is: 13,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929.76 : 23,363.06 = 9,477.76 : x
  2. Step 2: Convert to fraction form
    16,929.76/23,363.06 = 9,477.76/x
  3. Step 3: Cross multiply
    16,929.76x = 23,363.06 × 9,477.76
  4. Step 4: Simplify right side
    16,929.76x = 221,429,475.55
  5. Step 5: Solve for x
    x = 221,429,475.55/16,929.76
  6. Step 6: Final answer
    x = 13,079.30

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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.