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Finding the Fourth Proportional to 25,599, 35,326.62 and 14,421

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Solution

The fourth proportional to 25,599, 35,326.62 and 14,421 is: 19,900.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,599 : 35,326.62 = 14,421 : x
  2. Step 2: Convert to fraction form
    25,599/35,326.62 = 14,421/x
  3. Step 3: Cross multiply
    25,599x = 35,326.62 × 14,421
  4. Step 4: Simplify right side
    25,599x = 509,445,187.02
  5. Step 5: Solve for x
    x = 509,445,187.02/25,599
  6. Step 6: Final answer
    x = 19,900.98

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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.