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Finding the Fourth Proportional to 15,585.39, 21,507.81 and 8,511.81

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Solution

The fourth proportional to 15,585.39, 21,507.81 and 8,511.81 is: 11,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.39 : 21,507.81 = 8,511.81 : x
  2. Step 2: Convert to fraction form
    15,585.39/21,507.81 = 8,511.81/x
  3. Step 3: Cross multiply
    15,585.39x = 21,507.81 × 8,511.81
  4. Step 4: Simplify right side
    15,585.39x = 183,070,392.24
  5. Step 5: Solve for x
    x = 183,070,392.24/15,585.39
  6. Step 6: Final answer
    x = 11,746.28

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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.