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Finding the Fourth Proportional to 14,477.32, 21,752.28 and 9,214.60

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Solution

The fourth proportional to 14,477.32, 21,752.28 and 9,214.60 is: 13,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.32 : 21,752.28 = 9,214.60 : x
  2. Step 2: Convert to fraction form
    14,477.32/21,752.28 = 9,214.60/x
  3. Step 3: Cross multiply
    14,477.32x = 21,752.28 × 9,214.60
  4. Step 4: Simplify right side
    14,477.32x = 200,438,559.29
  5. Step 5: Solve for x
    x = 200,438,559.29/14,477.32
  6. Step 6: Final answer
    x = 13,845.00

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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.