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Finding the Fourth Proportional to 25,838.52, 38,774.80 and 14,159.94

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Solution

The fourth proportional to 25,838.52, 38,774.80 and 14,159.94 is: 21,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.52 : 38,774.80 = 14,159.94 : x
  2. Step 2: Convert to fraction form
    25,838.52/38,774.80 = 14,159.94/x
  3. Step 3: Cross multiply
    25,838.52x = 38,774.80 × 14,159.94
  4. Step 4: Simplify right side
    25,838.52x = 549,048,841.51
  5. Step 5: Solve for x
    x = 549,048,841.51/25,838.52
  6. Step 6: Final answer
    x = 21,249.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.