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Finding the Fourth Proportional to 15,800.47, 21,803.75 and 9,434.25

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Solution

The fourth proportional to 15,800.47, 21,803.75 and 9,434.25 is: 13,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.47 : 21,803.75 = 9,434.25 : x
  2. Step 2: Convert to fraction form
    15,800.47/21,803.75 = 9,434.25/x
  3. Step 3: Cross multiply
    15,800.47x = 21,803.75 × 9,434.25
  4. Step 4: Simplify right side
    15,800.47x = 205,701,895.83
  5. Step 5: Solve for x
    x = 205,701,895.83/15,800.47
  6. Step 6: Final answer
    x = 13,018.72

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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.