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Finding the Fourth Proportional to 15,507.83, 21,402.85 and 15,085.64

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Solution

The fourth proportional to 15,507.83, 21,402.85 and 15,085.64 is: 20,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.83 : 21,402.85 = 15,085.64 : x
  2. Step 2: Convert to fraction form
    15,507.83/21,402.85 = 15,085.64/x
  3. Step 3: Cross multiply
    15,507.83x = 21,402.85 × 15,085.64
  4. Step 4: Simplify right side
    15,507.83x = 322,875,583.06
  5. Step 5: Solve for x
    x = 322,875,583.06/15,507.83
  6. Step 6: Final answer
    x = 20,820.17

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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.