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Finding the Fourth Proportional to 25,585, 35,307.36 and 14,407

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Solution

The fourth proportional to 25,585, 35,307.36 and 14,407 is: 19,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585 : 35,307.36 = 14,407 : x
  2. Step 2: Convert to fraction form
    25,585/35,307.36 = 14,407/x
  3. Step 3: Cross multiply
    25,585x = 35,307.36 × 14,407
  4. Step 4: Simplify right side
    25,585x = 508,673,135.52
  5. Step 5: Solve for x
    x = 508,673,135.52/25,585
  6. Step 6: Final answer
    x = 19,881.69

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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.