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Finding the Fourth Proportional to 19,142.58, 26,415 and 10,643.76

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Solution

The fourth proportional to 19,142.58, 26,415 and 10,643.76 is: 14,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.58 : 26,415 = 10,643.76 : x
  2. Step 2: Convert to fraction form
    19,142.58/26,415 = 10,643.76/x
  3. Step 3: Cross multiply
    19,142.58x = 26,415 × 10,643.76
  4. Step 4: Simplify right side
    19,142.58x = 281,154,920.40
  5. Step 5: Solve for x
    x = 281,154,920.40/19,142.58
  6. Step 6: Final answer
    x = 14,687.41

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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.