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Finding the Fourth Proportional to 14,004.64, 21,008.16 and 4,642.66

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Solution

The fourth proportional to 14,004.64, 21,008.16 and 4,642.66 is: 6,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.64 : 21,008.16 = 4,642.66 : x
  2. Step 2: Convert to fraction form
    14,004.64/21,008.16 = 4,642.66/x
  3. Step 3: Cross multiply
    14,004.64x = 21,008.16 × 4,642.66
  4. Step 4: Simplify right side
    14,004.64x = 97,533,744.11
  5. Step 5: Solve for x
    x = 97,533,744.11/14,004.64
  6. Step 6: Final answer
    x = 6,964.39

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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.