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Finding the Fourth Proportional to 15,574.50, 23,364 and 5,041.08

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Solution

The fourth proportional to 15,574.50, 23,364 and 5,041.08 is: 7,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.50 : 23,364 = 5,041.08 : x
  2. Step 2: Convert to fraction form
    15,574.50/23,364 = 5,041.08/x
  3. Step 3: Cross multiply
    15,574.50x = 23,364 × 5,041.08
  4. Step 4: Simplify right side
    15,574.50x = 117,779,793.12
  5. Step 5: Solve for x
    x = 117,779,793.12/15,574.50
  6. Step 6: Final answer
    x = 7,562.35

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Why These Related Problems?

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