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Finding the Fourth Proportional to 12,875.32, 17,767.64 and 7,570.28

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Solution

The fourth proportional to 12,875.32, 17,767.64 and 7,570.28 is: 10,446.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.32 : 17,767.64 = 7,570.28 : x
  2. Step 2: Convert to fraction form
    12,875.32/17,767.64 = 7,570.28/x
  3. Step 3: Cross multiply
    12,875.32x = 17,767.64 × 7,570.28
  4. Step 4: Simplify right side
    12,875.32x = 134,506,009.74
  5. Step 5: Solve for x
    x = 134,506,009.74/12,875.32
  6. Step 6: Final answer
    x = 10,446.81

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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.