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Finding the Fourth Proportional to 21,056.59, 31,568.23 and 7,907.50

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Solution

The fourth proportional to 21,056.59, 31,568.23 and 7,907.50 is: 11,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.59 : 31,568.23 = 7,907.50 : x
  2. Step 2: Convert to fraction form
    21,056.59/31,568.23 = 7,907.50/x
  3. Step 3: Cross multiply
    21,056.59x = 31,568.23 × 7,907.50
  4. Step 4: Simplify right side
    21,056.59x = 249,625,778.73
  5. Step 5: Solve for x
    x = 249,625,778.73/21,056.59
  6. Step 6: Final answer
    x = 11,855.00

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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.