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Finding the Fourth Proportional to 23,497.83, 32,427.45 and 12,888

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Solution

The fourth proportional to 23,497.83, 32,427.45 and 12,888 is: 17,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.83 : 32,427.45 = 12,888 : x
  2. Step 2: Convert to fraction form
    23,497.83/32,427.45 = 12,888/x
  3. Step 3: Cross multiply
    23,497.83x = 32,427.45 × 12,888
  4. Step 4: Simplify right side
    23,497.83x = 417,924,975.60
  5. Step 5: Solve for x
    x = 417,924,975.60/23,497.83
  6. Step 6: Final answer
    x = 17,785.68

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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.