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Finding the Fourth Proportional to 29,712, 44,577.93 and 9,722.40

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Solution

The fourth proportional to 29,712, 44,577.93 and 9,722.40 is: 14,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 44,577.93 = 9,722.40 : x
  2. Step 2: Convert to fraction form
    29,712/44,577.93 = 9,722.40/x
  3. Step 3: Cross multiply
    29,712x = 44,577.93 × 9,722.40
  4. Step 4: Simplify right side
    29,712x = 433,404,466.63
  5. Step 5: Solve for x
    x = 433,404,466.63/29,712
  6. Step 6: Final answer
    x = 14,586.85

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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.