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Finding the Fourth Proportional to 21,377.64, 29,501.12 and 11,946.20

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Solution

The fourth proportional to 21,377.64, 29,501.12 and 11,946.20 is: 16,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.64 : 29,501.12 = 11,946.20 : x
  2. Step 2: Convert to fraction form
    21,377.64/29,501.12 = 11,946.20/x
  3. Step 3: Cross multiply
    21,377.64x = 29,501.12 × 11,946.20
  4. Step 4: Simplify right side
    21,377.64x = 352,426,279.74
  5. Step 5: Solve for x
    x = 352,426,279.74/21,377.64
  6. Step 6: Final answer
    x = 16,485.74

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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.