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Finding the Fourth Proportional to 19,970.78, 27,558.06 and 11,470.20

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Solution

The fourth proportional to 19,970.78, 27,558.06 and 11,470.20 is: 15,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.78 : 27,558.06 = 11,470.20 : x
  2. Step 2: Convert to fraction form
    19,970.78/27,558.06 = 11,470.20/x
  3. Step 3: Cross multiply
    19,970.78x = 27,558.06 × 11,470.20
  4. Step 4: Simplify right side
    19,970.78x = 316,096,459.81
  5. Step 5: Solve for x
    x = 316,096,459.81/19,970.78
  6. Step 6: Final answer
    x = 15,827.95

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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.