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Finding the Fourth Proportional to 25,588.96, 35,312.68 and 14,258.94

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Solution

The fourth proportional to 25,588.96, 35,312.68 and 14,258.94 is: 19,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.96 : 35,312.68 = 14,258.94 : x
  2. Step 2: Convert to fraction form
    25,588.96/35,312.68 = 14,258.94/x
  3. Step 3: Cross multiply
    25,588.96x = 35,312.68 × 14,258.94
  4. Step 4: Simplify right side
    25,588.96x = 503,521,385.36
  5. Step 5: Solve for x
    x = 503,521,385.36/25,588.96
  6. Step 6: Final answer
    x = 19,677.29

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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.