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Finding the Fourth Proportional to 29,688.36, 40,970 and 16,259.72

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Solution

The fourth proportional to 29,688.36, 40,970 and 16,259.72 is: 22,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688.36 : 40,970 = 16,259.72 : x
  2. Step 2: Convert to fraction form
    29,688.36/40,970 = 16,259.72/x
  3. Step 3: Cross multiply
    29,688.36x = 40,970 × 16,259.72
  4. Step 4: Simplify right side
    29,688.36x = 666,160,728.40
  5. Step 5: Solve for x
    x = 666,160,728.40/29,688.36
  6. Step 6: Final answer
    x = 22,438.45

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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.