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Finding the Fourth Proportional to 17,275.44, 23,838.80 and 10,200.50

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Solution

The fourth proportional to 17,275.44, 23,838.80 and 10,200.50 is: 14,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275.44 : 23,838.80 = 10,200.50 : x
  2. Step 2: Convert to fraction form
    17,275.44/23,838.80 = 10,200.50/x
  3. Step 3: Cross multiply
    17,275.44x = 23,838.80 × 10,200.50
  4. Step 4: Simplify right side
    17,275.44x = 243,167,679.40
  5. Step 5: Solve for x
    x = 243,167,679.40/17,275.44
  6. Step 6: Final answer
    x = 14,075.92

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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.