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Finding the Fourth Proportional to 15,276, 22,813.35 and 13,200.24

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Solution

The fourth proportional to 15,276, 22,813.35 and 13,200.24 is: 19,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,276 : 22,813.35 = 13,200.24 : x
  2. Step 2: Convert to fraction form
    15,276/22,813.35 = 13,200.24/x
  3. Step 3: Cross multiply
    15,276x = 22,813.35 × 13,200.24
  4. Step 4: Simplify right side
    15,276x = 301,141,695.20
  5. Step 5: Solve for x
    x = 301,141,695.20/15,276
  6. Step 6: Final answer
    x = 19,713.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.