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Finding the Fourth Proportional to 21,562.74, 32,347.35 and 7,708.50

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Solution

The fourth proportional to 21,562.74, 32,347.35 and 7,708.50 is: 11,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.74 : 32,347.35 = 7,708.50 : x
  2. Step 2: Convert to fraction form
    21,562.74/32,347.35 = 7,708.50/x
  3. Step 3: Cross multiply
    21,562.74x = 32,347.35 × 7,708.50
  4. Step 4: Simplify right side
    21,562.74x = 249,349,547.48
  5. Step 5: Solve for x
    x = 249,349,547.48/21,562.74
  6. Step 6: Final answer
    x = 11,563.91

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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.