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Finding the Fourth Proportional to 23,894.60, 32,975.10 and 13,284

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Solution

The fourth proportional to 23,894.60, 32,975.10 and 13,284 is: 18,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.60 : 32,975.10 = 13,284 : x
  2. Step 2: Convert to fraction form
    23,894.60/32,975.10 = 13,284/x
  3. Step 3: Cross multiply
    23,894.60x = 32,975.10 × 13,284
  4. Step 4: Simplify right side
    23,894.60x = 438,041,228.40
  5. Step 5: Solve for x
    x = 438,041,228.40/23,894.60
  6. Step 6: Final answer
    x = 18,332.23

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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.