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Finding the Fourth Proportional to 25,585.74, 35,307.90 and 14,256

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Solution

The fourth proportional to 25,585.74, 35,307.90 and 14,256 is: 19,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585.74 : 35,307.90 = 14,256 : x
  2. Step 2: Convert to fraction form
    25,585.74/35,307.90 = 14,256/x
  3. Step 3: Cross multiply
    25,585.74x = 35,307.90 × 14,256
  4. Step 4: Simplify right side
    25,585.74x = 503,349,422.40
  5. Step 5: Solve for x
    x = 503,349,422.40/25,585.74
  6. Step 6: Final answer
    x = 19,673.05

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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.