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Finding the Fourth Proportional to 19,615.34, 27,071.44 and 11,657.50

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Solution

The fourth proportional to 19,615.34, 27,071.44 and 11,657.50 is: 16,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.34 : 27,071.44 = 11,657.50 : x
  2. Step 2: Convert to fraction form
    19,615.34/27,071.44 = 11,657.50/x
  3. Step 3: Cross multiply
    19,615.34x = 27,071.44 × 11,657.50
  4. Step 4: Simplify right side
    19,615.34x = 315,585,118.16
  5. Step 5: Solve for x
    x = 315,585,118.16/19,615.34
  6. Step 6: Final answer
    x = 16,088.69

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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.