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Finding the Fourth Proportional to 25,601.16, 35,325.54 and 14,421

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Solution

The fourth proportional to 25,601.16, 35,325.54 and 14,421 is: 19,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,601.16 : 35,325.54 = 14,421 : x
  2. Step 2: Convert to fraction form
    25,601.16/35,325.54 = 14,421/x
  3. Step 3: Cross multiply
    25,601.16x = 35,325.54 × 14,421
  4. Step 4: Simplify right side
    25,601.16x = 509,429,612.34
  5. Step 5: Solve for x
    x = 509,429,612.34/25,601.16
  6. Step 6: Final answer
    x = 19,898.69

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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.