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Finding the Fourth Proportional to 19,967.44, 29,957.64 and 9,580

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Solution

The fourth proportional to 19,967.44, 29,957.64 and 9,580 is: 14,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.44 : 29,957.64 = 9,580 : x
  2. Step 2: Convert to fraction form
    19,967.44/29,957.64 = 9,580/x
  3. Step 3: Cross multiply
    19,967.44x = 29,957.64 × 9,580
  4. Step 4: Simplify right side
    19,967.44x = 286,994,191.20
  5. Step 5: Solve for x
    x = 286,994,191.20/19,967.44
  6. Step 6: Final answer
    x = 14,373.11

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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.