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Finding the Fourth Proportional to 14,002.16, 21,004.86 and 4,643

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Solution

The fourth proportional to 14,002.16, 21,004.86 and 4,643 is: 6,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.16 : 21,004.86 = 4,643 : x
  2. Step 2: Convert to fraction form
    14,002.16/21,004.86 = 4,643/x
  3. Step 3: Cross multiply
    14,002.16x = 21,004.86 × 4,643
  4. Step 4: Simplify right side
    14,002.16x = 97,525,564.98
  5. Step 5: Solve for x
    x = 97,525,564.98/14,002.16
  6. Step 6: Final answer
    x = 6,965.04

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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.