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Finding the Fourth Proportional to 27,442.60, 37,870.76 and 14,867.36

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Solution

The fourth proportional to 27,442.60, 37,870.76 and 14,867.36 is: 20,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.60 : 37,870.76 = 14,867.36 : x
  2. Step 2: Convert to fraction form
    27,442.60/37,870.76 = 14,867.36/x
  3. Step 3: Cross multiply
    27,442.60x = 37,870.76 × 14,867.36
  4. Step 4: Simplify right side
    27,442.60x = 563,038,222.39
  5. Step 5: Solve for x
    x = 563,038,222.39/27,442.60
  6. Step 6: Final answer
    x = 20,516.94

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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.