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Finding the Fourth Proportional to 15,434, 21,289.80 and 10,130.96

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Solution

The fourth proportional to 15,434, 21,289.80 and 10,130.96 is: 13,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,434 : 21,289.80 = 10,130.96 : x
  2. Step 2: Convert to fraction form
    15,434/21,289.80 = 10,130.96/x
  3. Step 3: Cross multiply
    15,434x = 21,289.80 × 10,130.96
  4. Step 4: Simplify right side
    15,434x = 215,686,112.21
  5. Step 5: Solve for x
    x = 215,686,112.21/15,434
  6. Step 6: Final answer
    x = 13,974.74

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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.