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Finding the Fourth Proportional to 23,031.40, 31,783.20 and 13,095.40

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Solution

The fourth proportional to 23,031.40, 31,783.20 and 13,095.40 is: 18,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.40 : 31,783.20 = 13,095.40 : x
  2. Step 2: Convert to fraction form
    23,031.40/31,783.20 = 13,095.40/x
  3. Step 3: Cross multiply
    23,031.40x = 31,783.20 × 13,095.40
  4. Step 4: Simplify right side
    23,031.40x = 416,213,717.28
  5. Step 5: Solve for x
    x = 416,213,717.28/23,031.40
  6. Step 6: Final answer
    x = 18,071.58

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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.