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Finding the Fourth Proportional to 14,969.34, 20,656.62 and 9,312.30

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Solution

The fourth proportional to 14,969.34, 20,656.62 and 9,312.30 is: 12,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.34 : 20,656.62 = 9,312.30 : x
  2. Step 2: Convert to fraction form
    14,969.34/20,656.62 = 9,312.30/x
  3. Step 3: Cross multiply
    14,969.34x = 20,656.62 × 9,312.30
  4. Step 4: Simplify right side
    14,969.34x = 192,360,642.43
  5. Step 5: Solve for x
    x = 192,360,642.43/14,969.34
  6. Step 6: Final answer
    x = 12,850.31

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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.