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Finding the Fourth Proportional to 22,707.08, 34,054.14 and 9,557

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Solution

The fourth proportional to 22,707.08, 34,054.14 and 9,557 is: 14,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.08 : 34,054.14 = 9,557 : x
  2. Step 2: Convert to fraction form
    22,707.08/34,054.14 = 9,557/x
  3. Step 3: Cross multiply
    22,707.08x = 34,054.14 × 9,557
  4. Step 4: Simplify right side
    22,707.08x = 325,455,415.98
  5. Step 5: Solve for x
    x = 325,455,415.98/22,707.08
  6. Step 6: Final answer
    x = 14,332.77

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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.