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Finding the Fourth Proportional to 23,276, 32,120.88 and 13,340

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Solution

The fourth proportional to 23,276, 32,120.88 and 13,340 is: 18,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,276 : 32,120.88 = 13,340 : x
  2. Step 2: Convert to fraction form
    23,276/32,120.88 = 13,340/x
  3. Step 3: Cross multiply
    23,276x = 32,120.88 × 13,340
  4. Step 4: Simplify right side
    23,276x = 428,492,539.20
  5. Step 5: Solve for x
    x = 428,492,539.20/23,276
  6. Step 6: Final answer
    x = 18,409.20

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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.