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Finding the Fourth Proportional to 15,585.06, 21,506.46 and 8,510.06

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Solution

The fourth proportional to 15,585.06, 21,506.46 and 8,510.06 is: 11,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.06 : 21,506.46 = 8,510.06 : x
  2. Step 2: Convert to fraction form
    15,585.06/21,506.46 = 8,510.06/x
  3. Step 3: Cross multiply
    15,585.06x = 21,506.46 × 8,510.06
  4. Step 4: Simplify right side
    15,585.06x = 183,021,264.99
  5. Step 5: Solve for x
    x = 183,021,264.99/15,585.06
  6. Step 6: Final answer
    x = 11,743.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.