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Finding the Fourth Proportional to 15,855.94, 21,877.86 and 9,567.10

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Solution

The fourth proportional to 15,855.94, 21,877.86 and 9,567.10 is: 13,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.94 : 21,877.86 = 9,567.10 : x
  2. Step 2: Convert to fraction form
    15,855.94/21,877.86 = 9,567.10/x
  3. Step 3: Cross multiply
    15,855.94x = 21,877.86 × 9,567.10
  4. Step 4: Simplify right side
    15,855.94x = 209,307,674.41
  5. Step 5: Solve for x
    x = 209,307,674.41/15,855.94
  6. Step 6: Final answer
    x = 13,200.58

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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.