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Finding the Fourth Proportional to 22,700.18, 34,055.74 and 7,117.82

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Solution

The fourth proportional to 22,700.18, 34,055.74 and 7,117.82 is: 10,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.18 : 34,055.74 = 7,117.82 : x
  2. Step 2: Convert to fraction form
    22,700.18/34,055.74 = 7,117.82/x
  3. Step 3: Cross multiply
    22,700.18x = 34,055.74 × 7,117.82
  4. Step 4: Simplify right side
    22,700.18x = 242,402,627.29
  5. Step 5: Solve for x
    x = 242,402,627.29/22,700.18
  6. Step 6: Final answer
    x = 10,678.45

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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.