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Finding the Fourth Proportional to 21,264.86, 29,347.32 and 11,706.63

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Solution

The fourth proportional to 21,264.86, 29,347.32 and 11,706.63 is: 16,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.86 : 29,347.32 = 11,706.63 : x
  2. Step 2: Convert to fraction form
    21,264.86/29,347.32 = 11,706.63/x
  3. Step 3: Cross multiply
    21,264.86x = 29,347.32 × 11,706.63
  4. Step 4: Simplify right side
    21,264.86x = 343,558,216.73
  5. Step 5: Solve for x
    x = 343,558,216.73/21,264.86
  6. Step 6: Final answer
    x = 16,156.15

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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.