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Finding the Fourth Proportional to 19,461, 29,192.58 and 5,611.08

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Solution

The fourth proportional to 19,461, 29,192.58 and 5,611.08 is: 8,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461 : 29,192.58 = 5,611.08 : x
  2. Step 2: Convert to fraction form
    19,461/29,192.58 = 5,611.08/x
  3. Step 3: Cross multiply
    19,461x = 29,192.58 × 5,611.08
  4. Step 4: Simplify right side
    19,461x = 163,801,901.79
  5. Step 5: Solve for x
    x = 163,801,901.79/19,461
  6. Step 6: Final answer
    x = 8,416.93

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Why These Related Problems?

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