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Finding the Fourth Proportional to 29,509.76, 40,709.04 and 17,569.28

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Solution

The fourth proportional to 29,509.76, 40,709.04 and 17,569.28 is: 24,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,509.76 : 40,709.04 = 17,569.28 : x
  2. Step 2: Convert to fraction form
    29,509.76/40,709.04 = 17,569.28/x
  3. Step 3: Cross multiply
    29,509.76x = 40,709.04 × 17,569.28
  4. Step 4: Simplify right side
    29,509.76x = 715,228,522.29
  5. Step 5: Solve for x
    x = 715,228,522.29/29,509.76
  6. Step 6: Final answer
    x = 24,237.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.