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Finding the Fourth Proportional to 15,039.61, 22,547.40 and 7,138.16

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Solution

The fourth proportional to 15,039.61, 22,547.40 and 7,138.16 is: 10,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,039.61 : 22,547.40 = 7,138.16 : x
  2. Step 2: Convert to fraction form
    15,039.61/22,547.40 = 7,138.16/x
  3. Step 3: Cross multiply
    15,039.61x = 22,547.40 × 7,138.16
  4. Step 4: Simplify right side
    15,039.61x = 160,946,893.83
  5. Step 5: Solve for x
    x = 160,946,893.83/15,039.61
  6. Step 6: Final answer
    x = 10,701.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.