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Finding the Fourth Proportional to 15,583.94, 21,506.28 and 8,510.82

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Solution

The fourth proportional to 15,583.94, 21,506.28 and 8,510.82 is: 11,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.94 : 21,506.28 = 8,510.82 : x
  2. Step 2: Convert to fraction form
    15,583.94/21,506.28 = 8,510.82/x
  3. Step 3: Cross multiply
    15,583.94x = 21,506.28 × 8,510.82
  4. Step 4: Simplify right side
    15,583.94x = 183,036,077.95
  5. Step 5: Solve for x
    x = 183,036,077.95/15,583.94
  6. Step 6: Final answer
    x = 11,745.18

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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.