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Finding the Fourth Proportional to 14,922.18, 20,602.70 and 9,259.22

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Solution

The fourth proportional to 14,922.18, 20,602.70 and 9,259.22 is: 12,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.18 : 20,602.70 = 9,259.22 : x
  2. Step 2: Convert to fraction form
    14,922.18/20,602.70 = 9,259.22/x
  3. Step 3: Cross multiply
    14,922.18x = 20,602.70 × 9,259.22
  4. Step 4: Simplify right side
    14,922.18x = 190,764,931.89
  5. Step 5: Solve for x
    x = 190,764,931.89/14,922.18
  6. Step 6: Final answer
    x = 12,783.99

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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.