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Finding the Fourth Proportional to 15,585.30, 21,507.66 and 8,511.66

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Solution

The fourth proportional to 15,585.30, 21,507.66 and 8,511.66 is: 11,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.30 : 21,507.66 = 8,511.66 : x
  2. Step 2: Convert to fraction form
    15,585.30/21,507.66 = 8,511.66/x
  3. Step 3: Cross multiply
    15,585.30x = 21,507.66 × 8,511.66
  4. Step 4: Simplify right side
    15,585.30x = 183,065,889.32
  5. Step 5: Solve for x
    x = 183,065,889.32/15,585.30
  6. Step 6: Final answer
    x = 11,746.06

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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.