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Finding the Fourth Proportional to 22,953.48, 31,678.09 and 14,006.98

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Solution

The fourth proportional to 22,953.48, 31,678.09 and 14,006.98 is: 19,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.48 : 31,678.09 = 14,006.98 : x
  2. Step 2: Convert to fraction form
    22,953.48/31,678.09 = 14,006.98/x
  3. Step 3: Cross multiply
    22,953.48x = 31,678.09 × 14,006.98
  4. Step 4: Simplify right side
    22,953.48x = 443,714,199.46
  5. Step 5: Solve for x
    x = 443,714,199.46/22,953.48
  6. Step 6: Final answer
    x = 19,331.02

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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.