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Finding the Fourth Proportional to 25,586.69, 35,312.21 and 14,258.03

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Solution

The fourth proportional to 25,586.69, 35,312.21 and 14,258.03 is: 19,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.69 : 35,312.21 = 14,258.03 : x
  2. Step 2: Convert to fraction form
    25,586.69/35,312.21 = 14,258.03/x
  3. Step 3: Cross multiply
    25,586.69x = 35,312.21 × 14,258.03
  4. Step 4: Simplify right side
    25,586.69x = 503,482,408.63
  5. Step 5: Solve for x
    x = 503,482,408.63/25,586.69
  6. Step 6: Final answer
    x = 19,677.52

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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.