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Finding the Fourth Proportional to 14,464.64, 21,697.32 and 4,076

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Solution

The fourth proportional to 14,464.64, 21,697.32 and 4,076 is: 6,114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.64 : 21,697.32 = 4,076 : x
  2. Step 2: Convert to fraction form
    14,464.64/21,697.32 = 4,076/x
  3. Step 3: Cross multiply
    14,464.64x = 21,697.32 × 4,076
  4. Step 4: Simplify right side
    14,464.64x = 88,438,276.32
  5. Step 5: Solve for x
    x = 88,438,276.32/14,464.64
  6. Step 6: Final answer
    x = 6,114.10

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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.