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Finding the Fourth Proportional to 21,055.59, 31,566.74 and 7,906.50

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Solution

The fourth proportional to 21,055.59, 31,566.74 and 7,906.50 is: 11,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,055.59 : 31,566.74 = 7,906.50 : x
  2. Step 2: Convert to fraction form
    21,055.59/31,566.74 = 7,906.50/x
  3. Step 3: Cross multiply
    21,055.59x = 31,566.74 × 7,906.50
  4. Step 4: Simplify right side
    21,055.59x = 249,582,390.28
  5. Step 5: Solve for x
    x = 249,582,390.28/21,055.59
  6. Step 6: Final answer
    x = 11,853.50

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Why These Related Problems?

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