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Finding the Fourth Proportional to 22,857.42, 31,562.71 and 14,373.74

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Solution

The fourth proportional to 22,857.42, 31,562.71 and 14,373.74 is: 19,848.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.42 : 31,562.71 = 14,373.74 : x
  2. Step 2: Convert to fraction form
    22,857.42/31,562.71 = 14,373.74/x
  3. Step 3: Cross multiply
    22,857.42x = 31,562.71 × 14,373.74
  4. Step 4: Simplify right side
    22,857.42x = 453,674,111.85
  5. Step 5: Solve for x
    x = 453,674,111.85/22,857.42
  6. Step 6: Final answer
    x = 19,848.00

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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.