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Finding the Fourth Proportional to 19,139.34, 28,682.28 and 9,276

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Solution

The fourth proportional to 19,139.34, 28,682.28 and 9,276 is: 13,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,139.34 : 28,682.28 = 9,276 : x
  2. Step 2: Convert to fraction form
    19,139.34/28,682.28 = 9,276/x
  3. Step 3: Cross multiply
    19,139.34x = 28,682.28 × 9,276
  4. Step 4: Simplify right side
    19,139.34x = 266,056,829.28
  5. Step 5: Solve for x
    x = 266,056,829.28/19,139.34
  6. Step 6: Final answer
    x = 13,901.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.