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Finding the Fourth Proportional to 15,038.64, 22,557.78 and 6,152.10

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Solution

The fourth proportional to 15,038.64, 22,557.78 and 6,152.10 is: 9,228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,038.64 : 22,557.78 = 6,152.10 : x
  2. Step 2: Convert to fraction form
    15,038.64/22,557.78 = 6,152.10/x
  3. Step 3: Cross multiply
    15,038.64x = 22,557.78 × 6,152.10
  4. Step 4: Simplify right side
    15,038.64x = 138,777,718.34
  5. Step 5: Solve for x
    x = 138,777,718.34/15,038.64
  6. Step 6: Final answer
    x = 9,228.08

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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.