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Finding the Fourth Proportional to 21,030.76, 31,546 and 7,873.80

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Solution

The fourth proportional to 21,030.76, 31,546 and 7,873.80 is: 11,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.76 : 31,546 = 7,873.80 : x
  2. Step 2: Convert to fraction form
    21,030.76/31,546 = 7,873.80/x
  3. Step 3: Cross multiply
    21,030.76x = 31,546 × 7,873.80
  4. Step 4: Simplify right side
    21,030.76x = 248,386,894.80
  5. Step 5: Solve for x
    x = 248,386,894.80/21,030.76
  6. Step 6: Final answer
    x = 11,810.65

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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.