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Finding the Fourth Proportional to 30,434.16, 45,658.62 and 9,657.84

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Solution

The fourth proportional to 30,434.16, 45,658.62 and 9,657.84 is: 14,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434.16 : 45,658.62 = 9,657.84 : x
  2. Step 2: Convert to fraction form
    30,434.16/45,658.62 = 9,657.84/x
  3. Step 3: Cross multiply
    30,434.16x = 45,658.62 × 9,657.84
  4. Step 4: Simplify right side
    30,434.16x = 440,963,646.58
  5. Step 5: Solve for x
    x = 440,963,646.58/30,434.16
  6. Step 6: Final answer
    x = 14,489.10

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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.