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Finding the Fourth Proportional to 10,021.02, 13,820.55 and 7,509.06

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Solution

The fourth proportional to 10,021.02, 13,820.55 and 7,509.06 is: 10,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.02 : 13,820.55 = 7,509.06 : x
  2. Step 2: Convert to fraction form
    10,021.02/13,820.55 = 7,509.06/x
  3. Step 3: Cross multiply
    10,021.02x = 13,820.55 × 7,509.06
  4. Step 4: Simplify right side
    10,021.02x = 103,779,339.18
  5. Step 5: Solve for x
    x = 103,779,339.18/10,021.02
  6. Step 6: Final answer
    x = 10,356.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.