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Finding the Fourth Proportional to 21,048.12, 29,051.46 and 12,663

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Solution

The fourth proportional to 21,048.12, 29,051.46 and 12,663 is: 17,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048.12 : 29,051.46 = 12,663 : x
  2. Step 2: Convert to fraction form
    21,048.12/29,051.46 = 12,663/x
  3. Step 3: Cross multiply
    21,048.12x = 29,051.46 × 12,663
  4. Step 4: Simplify right side
    21,048.12x = 367,878,637.98
  5. Step 5: Solve for x
    x = 367,878,637.98/21,048.12
  6. Step 6: Final answer
    x = 17,477.98

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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.