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Finding the Fourth Proportional to 15,580.48, 21,490.40 and 9,288

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Solution

The fourth proportional to 15,580.48, 21,490.40 and 9,288 is: 12,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.48 : 21,490.40 = 9,288 : x
  2. Step 2: Convert to fraction form
    15,580.48/21,490.40 = 9,288/x
  3. Step 3: Cross multiply
    15,580.48x = 21,490.40 × 9,288
  4. Step 4: Simplify right side
    15,580.48x = 199,602,835.20
  5. Step 5: Solve for x
    x = 199,602,835.20/15,580.48
  6. Step 6: Final answer
    x = 12,811.08

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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.