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Finding the Fourth Proportional to 27,705.76, 38,233.74 and 15,130.50

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Solution

The fourth proportional to 27,705.76, 38,233.74 and 15,130.50 is: 20,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.76 : 38,233.74 = 15,130.50 : x
  2. Step 2: Convert to fraction form
    27,705.76/38,233.74 = 15,130.50/x
  3. Step 3: Cross multiply
    27,705.76x = 38,233.74 × 15,130.50
  4. Step 4: Simplify right side
    27,705.76x = 578,495,603.07
  5. Step 5: Solve for x
    x = 578,495,603.07/27,705.76
  6. Step 6: Final answer
    x = 20,879.98

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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.