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Finding the Fourth Proportional to 18,512.60, 25,547.18 and 10,129

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Solution

The fourth proportional to 18,512.60, 25,547.18 and 10,129 is: 13,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,512.60 : 25,547.18 = 10,129 : x
  2. Step 2: Convert to fraction form
    18,512.60/25,547.18 = 10,129/x
  3. Step 3: Cross multiply
    18,512.60x = 25,547.18 × 10,129
  4. Step 4: Simplify right side
    18,512.60x = 258,767,386.22
  5. Step 5: Solve for x
    x = 258,767,386.22/18,512.60
  6. Step 6: Final answer
    x = 13,977.91

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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.