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Finding the Fourth Proportional to 25,589.51, 35,312.99 and 14,258.96

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Solution

The fourth proportional to 25,589.51, 35,312.99 and 14,258.96 is: 19,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.51 : 35,312.99 = 14,258.96 : x
  2. Step 2: Convert to fraction form
    25,589.51/35,312.99 = 14,258.96/x
  3. Step 3: Cross multiply
    25,589.51x = 35,312.99 × 14,258.96
  4. Step 4: Simplify right side
    25,589.51x = 503,526,264.03
  5. Step 5: Solve for x
    x = 503,526,264.03/25,589.51
  6. Step 6: Final answer
    x = 19,677.06

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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.