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Finding the Fourth Proportional to 25,981.86, 35,854.75 and 14,045.10

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Solution

The fourth proportional to 25,981.86, 35,854.75 and 14,045.10 is: 19,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981.86 : 35,854.75 = 14,045.10 : x
  2. Step 2: Convert to fraction form
    25,981.86/35,854.75 = 14,045.10/x
  3. Step 3: Cross multiply
    25,981.86x = 35,854.75 × 14,045.10
  4. Step 4: Simplify right side
    25,981.86x = 503,583,549.23
  5. Step 5: Solve for x
    x = 503,583,549.23/25,981.86
  6. Step 6: Final answer
    x = 19,382.12

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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.