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Finding the Fourth Proportional to 23,364.02, 35,038.74 and 7,778

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Solution

The fourth proportional to 23,364.02, 35,038.74 and 7,778 is: 11,664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364.02 : 35,038.74 = 7,778 : x
  2. Step 2: Convert to fraction form
    23,364.02/35,038.74 = 7,778/x
  3. Step 3: Cross multiply
    23,364.02x = 35,038.74 × 7,778
  4. Step 4: Simplify right side
    23,364.02x = 272,531,319.72
  5. Step 5: Solve for x
    x = 272,531,319.72/23,364.02
  6. Step 6: Final answer
    x = 11,664.57

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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.