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Finding the Fourth Proportional to 21,178.74, 29,220 and 12,225.08

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Solution

The fourth proportional to 21,178.74, 29,220 and 12,225.08 is: 16,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.74 : 29,220 = 12,225.08 : x
  2. Step 2: Convert to fraction form
    21,178.74/29,220 = 12,225.08/x
  3. Step 3: Cross multiply
    21,178.74x = 29,220 × 12,225.08
  4. Step 4: Simplify right side
    21,178.74x = 357,216,837.60
  5. Step 5: Solve for x
    x = 357,216,837.60/21,178.74
  6. Step 6: Final answer
    x = 16,866.77

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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.