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Finding the Fourth Proportional to 27,970.16, 41,946.30 and 9,246.71

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Solution

The fourth proportional to 27,970.16, 41,946.30 and 9,246.71 is: 13,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.16 : 41,946.30 = 9,246.71 : x
  2. Step 2: Convert to fraction form
    27,970.16/41,946.30 = 9,246.71/x
  3. Step 3: Cross multiply
    27,970.16x = 41,946.30 × 9,246.71
  4. Step 4: Simplify right side
    27,970.16x = 387,865,271.67
  5. Step 5: Solve for x
    x = 387,865,271.67/27,970.16
  6. Step 6: Final answer
    x = 13,867.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.