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Finding the Fourth Proportional to 25,866, 35,695.08 and 14,090

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Solution

The fourth proportional to 25,866, 35,695.08 and 14,090 is: 19,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866 : 35,695.08 = 14,090 : x
  2. Step 2: Convert to fraction form
    25,866/35,695.08 = 14,090/x
  3. Step 3: Cross multiply
    25,866x = 35,695.08 × 14,090
  4. Step 4: Simplify right side
    25,866x = 502,943,677.20
  5. Step 5: Solve for x
    x = 502,943,677.20/25,866
  6. Step 6: Final answer
    x = 19,444.20

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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.