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Finding the Fourth Proportional to 14,465.77, 21,697.53 and 5,700.76

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Solution

The fourth proportional to 14,465.77, 21,697.53 and 5,700.76 is: 8,550.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.77 : 21,697.53 = 5,700.76 : x
  2. Step 2: Convert to fraction form
    14,465.77/21,697.53 = 5,700.76/x
  3. Step 3: Cross multiply
    14,465.77x = 21,697.53 × 5,700.76
  4. Step 4: Simplify right side
    14,465.77x = 123,692,411.12
  5. Step 5: Solve for x
    x = 123,692,411.12/14,465.77
  6. Step 6: Final answer
    x = 8,550.70

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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.