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Finding the Fourth Proportional to 14,697.04, 20,274.76 and 8,407.76

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Solution

The fourth proportional to 14,697.04, 20,274.76 and 8,407.76 is: 11,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.04 : 20,274.76 = 8,407.76 : x
  2. Step 2: Convert to fraction form
    14,697.04/20,274.76 = 8,407.76/x
  3. Step 3: Cross multiply
    14,697.04x = 20,274.76 × 8,407.76
  4. Step 4: Simplify right side
    14,697.04x = 170,465,316.14
  5. Step 5: Solve for x
    x = 170,465,316.14/14,697.04
  6. Step 6: Final answer
    x = 11,598.62

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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.