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Finding the Fourth Proportional to 23,557.96, 32,509.11 and 12,946.96

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Solution

The fourth proportional to 23,557.96, 32,509.11 and 12,946.96 is: 17,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.96 : 32,509.11 = 12,946.96 : x
  2. Step 2: Convert to fraction form
    23,557.96/32,509.11 = 12,946.96/x
  3. Step 3: Cross multiply
    23,557.96x = 32,509.11 × 12,946.96
  4. Step 4: Simplify right side
    23,557.96x = 420,894,146.81
  5. Step 5: Solve for x
    x = 420,894,146.81/23,557.96
  6. Step 6: Final answer
    x = 17,866.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.