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Finding the Fourth Proportional to 21,174.90, 31,762.62 and 14,599.32

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Solution

The fourth proportional to 21,174.90, 31,762.62 and 14,599.32 is: 21,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.90 : 31,762.62 = 14,599.32 : x
  2. Step 2: Convert to fraction form
    21,174.90/31,762.62 = 14,599.32/x
  3. Step 3: Cross multiply
    21,174.90x = 31,762.62 × 14,599.32
  4. Step 4: Simplify right side
    21,174.90x = 463,712,653.42
  5. Step 5: Solve for x
    x = 463,712,653.42/21,174.90
  6. Step 6: Final answer
    x = 21,899.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.