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Finding the Fourth Proportional to 29,686.16, 40,973.64 and 18,506

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Solution

The fourth proportional to 29,686.16, 40,973.64 and 18,506 is: 25,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.16 : 40,973.64 = 18,506 : x
  2. Step 2: Convert to fraction form
    29,686.16/40,973.64 = 18,506/x
  3. Step 3: Cross multiply
    29,686.16x = 40,973.64 × 18,506
  4. Step 4: Simplify right side
    29,686.16x = 758,258,181.84
  5. Step 5: Solve for x
    x = 758,258,181.84/29,686.16
  6. Step 6: Final answer
    x = 25,542.48

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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.