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Finding the Fourth Proportional to 21,140.91, 29,161.62 and 13,970.90

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Solution

The fourth proportional to 21,140.91, 29,161.62 and 13,970.90 is: 19,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.91 : 29,161.62 = 13,970.90 : x
  2. Step 2: Convert to fraction form
    21,140.91/29,161.62 = 13,970.90/x
  3. Step 3: Cross multiply
    21,140.91x = 29,161.62 × 13,970.90
  4. Step 4: Simplify right side
    21,140.91x = 407,413,931.05
  5. Step 5: Solve for x
    x = 407,413,931.05/21,140.91
  6. Step 6: Final answer
    x = 19,271.35

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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.