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Finding the Fourth Proportional to 21,490.41, 29,656.78 and 12,058.98

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Solution

The fourth proportional to 21,490.41, 29,656.78 and 12,058.98 is: 16,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490.41 : 29,656.78 = 12,058.98 : x
  2. Step 2: Convert to fraction form
    21,490.41/29,656.78 = 12,058.98/x
  3. Step 3: Cross multiply
    21,490.41x = 29,656.78 × 12,058.98
  4. Step 4: Simplify right side
    21,490.41x = 357,630,443.36
  5. Step 5: Solve for x
    x = 357,630,443.36/21,490.41
  6. Step 6: Final answer
    x = 16,641.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.