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Finding the Fourth Proportional to 25,985.70, 35,850.66 and 17,038.14

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Solution

The fourth proportional to 25,985.70, 35,850.66 and 17,038.14 is: 23,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.70 : 35,850.66 = 17,038.14 : x
  2. Step 2: Convert to fraction form
    25,985.70/35,850.66 = 17,038.14/x
  3. Step 3: Cross multiply
    25,985.70x = 35,850.66 × 17,038.14
  4. Step 4: Simplify right side
    25,985.70x = 610,828,564.17
  5. Step 5: Solve for x
    x = 610,828,564.17/25,985.70
  6. Step 6: Final answer
    x = 23,506.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.