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Finding the Fourth Proportional to 23,148.84, 31,945.42 and 12,538.50

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Solution

The fourth proportional to 23,148.84, 31,945.42 and 12,538.50 is: 17,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.84 : 31,945.42 = 12,538.50 : x
  2. Step 2: Convert to fraction form
    23,148.84/31,945.42 = 12,538.50/x
  3. Step 3: Cross multiply
    23,148.84x = 31,945.42 × 12,538.50
  4. Step 4: Simplify right side
    23,148.84x = 400,547,648.67
  5. Step 5: Solve for x
    x = 400,547,648.67/23,148.84
  6. Step 6: Final answer
    x = 17,303.14

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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.