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Finding the Fourth Proportional to 15,866.88, 21,887.40 and 10,829.50

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Solution

The fourth proportional to 15,866.88, 21,887.40 and 10,829.50 is: 14,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,866.88 : 21,887.40 = 10,829.50 : x
  2. Step 2: Convert to fraction form
    15,866.88/21,887.40 = 10,829.50/x
  3. Step 3: Cross multiply
    15,866.88x = 21,887.40 × 10,829.50
  4. Step 4: Simplify right side
    15,866.88x = 237,029,598.30
  5. Step 5: Solve for x
    x = 237,029,598.30/15,866.88
  6. Step 6: Final answer
    x = 14,938.64

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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.