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Finding the Fourth Proportional to 25,113.46, 34,654.02 and 14,506.51

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Solution

The fourth proportional to 25,113.46, 34,654.02 and 14,506.51 is: 20,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,113.46 : 34,654.02 = 14,506.51 : x
  2. Step 2: Convert to fraction form
    25,113.46/34,654.02 = 14,506.51/x
  3. Step 3: Cross multiply
    25,113.46x = 34,654.02 × 14,506.51
  4. Step 4: Simplify right side
    25,113.46x = 502,708,887.67
  5. Step 5: Solve for x
    x = 502,708,887.67/25,113.46
  6. Step 6: Final answer
    x = 20,017.51

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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.