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Finding the Fourth Proportional to 15,074.16, 22,603.94 and 5,209.98

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Solution

The fourth proportional to 15,074.16, 22,603.94 and 5,209.98 is: 7,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.16 : 22,603.94 = 5,209.98 : x
  2. Step 2: Convert to fraction form
    15,074.16/22,603.94 = 5,209.98/x
  3. Step 3: Cross multiply
    15,074.16x = 22,603.94 × 5,209.98
  4. Step 4: Simplify right side
    15,074.16x = 117,766,075.32
  5. Step 5: Solve for x
    x = 117,766,075.32/15,074.16
  6. Step 6: Final answer
    x = 7,812.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.