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Finding the Fourth Proportional to 14,271.57, 21,417.87 and 6,775.16

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Solution

The fourth proportional to 14,271.57, 21,417.87 and 6,775.16 is: 10,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.57 : 21,417.87 = 6,775.16 : x
  2. Step 2: Convert to fraction form
    14,271.57/21,417.87 = 6,775.16/x
  3. Step 3: Cross multiply
    14,271.57x = 21,417.87 × 6,775.16
  4. Step 4: Simplify right side
    14,271.57x = 145,109,389.02
  5. Step 5: Solve for x
    x = 145,109,389.02/14,271.57
  6. Step 6: Final answer
    x = 10,167.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.