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Finding the Fourth Proportional to 17,527.50, 24,188.49 and 10,075.50

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Solution

The fourth proportional to 17,527.50, 24,188.49 and 10,075.50 is: 13,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.50 : 24,188.49 = 10,075.50 : x
  2. Step 2: Convert to fraction form
    17,527.50/24,188.49 = 10,075.50/x
  3. Step 3: Cross multiply
    17,527.50x = 24,188.49 × 10,075.50
  4. Step 4: Simplify right side
    17,527.50x = 243,711,131.00
  5. Step 5: Solve for x
    x = 243,711,131.00/17,527.50
  6. Step 6: Final answer
    x = 13,904.50

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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.