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Finding the Fourth Proportional to 21,010.16, 31,495.76 and 7,852.52

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Solution

The fourth proportional to 21,010.16, 31,495.76 and 7,852.52 is: 11,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.16 : 31,495.76 = 7,852.52 : x
  2. Step 2: Convert to fraction form
    21,010.16/31,495.76 = 7,852.52/x
  3. Step 3: Cross multiply
    21,010.16x = 31,495.76 × 7,852.52
  4. Step 4: Simplify right side
    21,010.16x = 247,321,085.32
  5. Step 5: Solve for x
    x = 247,321,085.32/21,010.16
  6. Step 6: Final answer
    x = 11,771.50

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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.