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Finding the Fourth Proportional to 25,534.84, 35,239 and 14,205.64

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Solution

The fourth proportional to 25,534.84, 35,239 and 14,205.64 is: 19,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.84 : 35,239 = 14,205.64 : x
  2. Step 2: Convert to fraction form
    25,534.84/35,239 = 14,205.64/x
  3. Step 3: Cross multiply
    25,534.84x = 35,239 × 14,205.64
  4. Step 4: Simplify right side
    25,534.84x = 500,592,547.96
  5. Step 5: Solve for x
    x = 500,592,547.96/25,534.84
  6. Step 6: Final answer
    x = 19,604.30

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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.