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Finding the Fourth Proportional to 25,924, 35,775.12 and 14,148

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Solution

The fourth proportional to 25,924, 35,775.12 and 14,148 is: 19,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924 : 35,775.12 = 14,148 : x
  2. Step 2: Convert to fraction form
    25,924/35,775.12 = 14,148/x
  3. Step 3: Cross multiply
    25,924x = 35,775.12 × 14,148
  4. Step 4: Simplify right side
    25,924x = 506,146,397.76
  5. Step 5: Solve for x
    x = 506,146,397.76/25,924
  6. Step 6: Final answer
    x = 19,524.24

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