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Finding the Fourth Proportional to 23,366.02, 35,041.74 and 7,780

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Solution

The fourth proportional to 23,366.02, 35,041.74 and 7,780 is: 11,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366.02 : 35,041.74 = 7,780 : x
  2. Step 2: Convert to fraction form
    23,366.02/35,041.74 = 7,780/x
  3. Step 3: Cross multiply
    23,366.02x = 35,041.74 × 7,780
  4. Step 4: Simplify right side
    23,366.02x = 272,624,737.20
  5. Step 5: Solve for x
    x = 272,624,737.20/23,366.02
  6. Step 6: Final answer
    x = 11,667.57

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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.