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Finding the Fourth Proportional to 22,109.76, 30,506.16 and 12,547.52

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Solution

The fourth proportional to 22,109.76, 30,506.16 and 12,547.52 is: 17,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.76 : 30,506.16 = 12,547.52 : x
  2. Step 2: Convert to fraction form
    22,109.76/30,506.16 = 12,547.52/x
  3. Step 3: Cross multiply
    22,109.76x = 30,506.16 × 12,547.52
  4. Step 4: Simplify right side
    22,109.76x = 382,776,652.72
  5. Step 5: Solve for x
    x = 382,776,652.72/22,109.76
  6. Step 6: Final answer
    x = 17,312.56

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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.