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Finding the Fourth Proportional to 15,807.74, 21,807.83 and 9,516.47

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Solution

The fourth proportional to 15,807.74, 21,807.83 and 9,516.47 is: 13,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.74 : 21,807.83 = 9,516.47 : x
  2. Step 2: Convert to fraction form
    15,807.74/21,807.83 = 9,516.47/x
  3. Step 3: Cross multiply
    15,807.74x = 21,807.83 × 9,516.47
  4. Step 4: Simplify right side
    15,807.74x = 207,533,403.34
  5. Step 5: Solve for x
    x = 207,533,403.34/15,807.74
  6. Step 6: Final answer
    x = 13,128.60

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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.