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Finding the Fourth Proportional to 14,552.16, 21,830.40 and 5,316

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Solution

The fourth proportional to 14,552.16, 21,830.40 and 5,316 is: 7,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.16 : 21,830.40 = 5,316 : x
  2. Step 2: Convert to fraction form
    14,552.16/21,830.40 = 5,316/x
  3. Step 3: Cross multiply
    14,552.16x = 21,830.40 × 5,316
  4. Step 4: Simplify right side
    14,552.16x = 116,050,406.40
  5. Step 5: Solve for x
    x = 116,050,406.40/14,552.16
  6. Step 6: Final answer
    x = 7,974.79

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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.