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Finding the Fourth Proportional to 21,386.50, 32,070.58 and 7,347.93

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Solution

The fourth proportional to 21,386.50, 32,070.58 and 7,347.93 is: 11,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.50 : 32,070.58 = 7,347.93 : x
  2. Step 2: Convert to fraction form
    21,386.50/32,070.58 = 7,347.93/x
  3. Step 3: Cross multiply
    21,386.50x = 32,070.58 × 7,347.93
  4. Step 4: Simplify right side
    21,386.50x = 235,652,459.99
  5. Step 5: Solve for x
    x = 235,652,459.99/21,386.50
  6. Step 6: Final answer
    x = 11,018.75

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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.