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Finding the Fourth Proportional to 22,518.16, 31,075 and 12,582.16

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Solution

The fourth proportional to 22,518.16, 31,075 and 12,582.16 is: 17,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.16 : 31,075 = 12,582.16 : x
  2. Step 2: Convert to fraction form
    22,518.16/31,075 = 12,582.16/x
  3. Step 3: Cross multiply
    22,518.16x = 31,075 × 12,582.16
  4. Step 4: Simplify right side
    22,518.16x = 390,990,622
  5. Step 5: Solve for x
    x = 390,990,622/22,518.16
  6. Step 6: Final answer
    x = 17,363.35

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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.