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Finding the Fourth Proportional to 29,985.12, 41,384.52 and 17,417.16

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Solution

The fourth proportional to 29,985.12, 41,384.52 and 17,417.16 is: 24,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,985.12 : 41,384.52 = 17,417.16 : x
  2. Step 2: Convert to fraction form
    29,985.12/41,384.52 = 17,417.16/x
  3. Step 3: Cross multiply
    29,985.12x = 41,384.52 × 17,417.16
  4. Step 4: Simplify right side
    29,985.12x = 720,800,806.36
  5. Step 5: Solve for x
    x = 720,800,806.36/29,985.12
  6. Step 6: Final answer
    x = 24,038.62

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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.