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Finding the Fourth Proportional to 25,570.22, 35,283.84 and 14,237

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Solution

The fourth proportional to 25,570.22, 35,283.84 and 14,237 is: 19,645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.22 : 35,283.84 = 14,237 : x
  2. Step 2: Convert to fraction form
    25,570.22/35,283.84 = 14,237/x
  3. Step 3: Cross multiply
    25,570.22x = 35,283.84 × 14,237
  4. Step 4: Simplify right side
    25,570.22x = 502,336,030.08
  5. Step 5: Solve for x
    x = 502,336,030.08/25,570.22
  6. Step 6: Final answer
    x = 19,645.35

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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.