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Finding the Fourth Proportional to 30,253.44, 45,385.92 and 11,784

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Solution

The fourth proportional to 30,253.44, 45,385.92 and 11,784 is: 17,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,253.44 : 45,385.92 = 11,784 : x
  2. Step 2: Convert to fraction form
    30,253.44/45,385.92 = 11,784/x
  3. Step 3: Cross multiply
    30,253.44x = 45,385.92 × 11,784
  4. Step 4: Simplify right side
    30,253.44x = 534,827,681.28
  5. Step 5: Solve for x
    x = 534,827,681.28/30,253.44
  6. Step 6: Final answer
    x = 17,678.24

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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.