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Finding the Fourth Proportional to 21,477.25, 29,651.57 and 14,038.21

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Solution

The fourth proportional to 21,477.25, 29,651.57 and 14,038.21 is: 19,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.25 : 29,651.57 = 14,038.21 : x
  2. Step 2: Convert to fraction form
    21,477.25/29,651.57 = 14,038.21/x
  3. Step 3: Cross multiply
    21,477.25x = 29,651.57 × 14,038.21
  4. Step 4: Simplify right side
    21,477.25x = 416,254,966.49
  5. Step 5: Solve for x
    x = 416,254,966.49/21,477.25
  6. Step 6: Final answer
    x = 19,381.20

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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.