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Finding the Fourth Proportional to 14,343, 19,784.76 and 9,028.59

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Solution

The fourth proportional to 14,343, 19,784.76 and 9,028.59 is: 12,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343 : 19,784.76 = 9,028.59 : x
  2. Step 2: Convert to fraction form
    14,343/19,784.76 = 9,028.59/x
  3. Step 3: Cross multiply
    14,343x = 19,784.76 × 9,028.59
  4. Step 4: Simplify right side
    14,343x = 178,628,486.29
  5. Step 5: Solve for x
    x = 178,628,486.29/14,343
  6. Step 6: Final answer
    x = 12,454.05

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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.