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Finding the Fourth Proportional to 25,686.58, 35,444 and 14,354.66

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Solution

The fourth proportional to 25,686.58, 35,444 and 14,354.66 is: 19,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.58 : 35,444 = 14,354.66 : x
  2. Step 2: Convert to fraction form
    25,686.58/35,444 = 14,354.66/x
  3. Step 3: Cross multiply
    25,686.58x = 35,444 × 14,354.66
  4. Step 4: Simplify right side
    25,686.58x = 508,786,569.04
  5. Step 5: Solve for x
    x = 508,786,569.04/25,686.58
  6. Step 6: Final answer
    x = 19,807.49

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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.