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Finding the Fourth Proportional to 25,826.16, 38,745.64 and 7,358

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Solution

The fourth proportional to 25,826.16, 38,745.64 and 7,358 is: 11,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.16 : 38,745.64 = 7,358 : x
  2. Step 2: Convert to fraction form
    25,826.16/38,745.64 = 7,358/x
  3. Step 3: Cross multiply
    25,826.16x = 38,745.64 × 7,358
  4. Step 4: Simplify right side
    25,826.16x = 285,090,419.12
  5. Step 5: Solve for x
    x = 285,090,419.12/25,826.16
  6. Step 6: Final answer
    x = 11,038.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.