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Finding the Fourth Proportional to 23,495.70, 32,424 and 12,886.02

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Solution

The fourth proportional to 23,495.70, 32,424 and 12,886.02 is: 17,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,495.70 : 32,424 = 12,886.02 : x
  2. Step 2: Convert to fraction form
    23,495.70/32,424 = 12,886.02/x
  3. Step 3: Cross multiply
    23,495.70x = 32,424 × 12,886.02
  4. Step 4: Simplify right side
    23,495.70x = 417,816,312.48
  5. Step 5: Solve for x
    x = 417,816,312.48/23,495.70
  6. Step 6: Final answer
    x = 17,782.67

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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.