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Finding the Fourth Proportional to 15,070.74, 22,570.56 and 7,656.81

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Solution

The fourth proportional to 15,070.74, 22,570.56 and 7,656.81 is: 11,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,070.74 : 22,570.56 = 7,656.81 : x
  2. Step 2: Convert to fraction form
    15,070.74/22,570.56 = 7,656.81/x
  3. Step 3: Cross multiply
    15,070.74x = 22,570.56 × 7,656.81
  4. Step 4: Simplify right side
    15,070.74x = 172,818,489.51
  5. Step 5: Solve for x
    x = 172,818,489.51/15,070.74
  6. Step 6: Final answer
    x = 11,467.15

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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.